Jürgen Jost

Q: What Schools Are Affiliated With Jürgen Jost

Jürgen Jost is affiliated with the following schools: Ruhr University Bochum, Australian National University, Leipzig University, University of Bonn

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Jürgen Jost

Mathematics

#557

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#1066

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Differential Geometry

#30

World Rank

#37

Historical Rank

Geometry

#37

World Rank

#68

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Measure Theory

#445

World Rank

#640

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Mathematics

Why Is Jürgen Jost Influential?

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According to Wikipedia, Jürgen Jost is a German mathematician specializing in geometry. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996. Life and work In 1975, he began studying mathematics, physics, economics and philosophy. In 1980 he received a Dr. rer. nat. from the University of Bonn under the supervision of . In 1984 he was at the University of Bonn for the habilitation. After his habilitation, he was at the Ruhr University Bochum, the chair of Mathematics X, Analysis. During this time he was the coordinator of the project "Stochastic Analysis and systems with infinitely many degrees of freedom" July 1987 to December 1996.

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Jürgen Jost's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Riemannian geometry and geometric analysis (1995) (1943)
Nonpositive Curvature: Geometric And Analytic Aspects (1997) (327)
Two-dimensional geometric variational problems (1991) (314)
Delays, connection topology, and synchronization of coupled chaotic maps. (2003) (235)
Quantifying unique information (2013) (212)
Equilibrium maps between metric spaces (1994) (199)
Existence results for mean field equations (1997) (181)
Ollivier’s Ricci Curvature, Local Clustering and Curvature-Dimension Inequalities on Graphs (2011) (177)
Convex functionals and generalized harmonic maps into spaces of non positive curvature (1995) (177)
Spectra of combinatorial Laplace operators on simplicial complexes (2011) (165)
Harmonic mappings and minimal submanifolds (1980) (155)
Dirac-harmonic maps (2004) (141)
Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions (2005) (132)
Harmonic mappings between Riemannian manifolds (1983) (124)
Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator (2011) (118)
Regularity theorems and energy identities for Dirac-harmonic maps (2004) (114)
On the spectrum of the normalized graph Laplacian (2007) (113)
A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry (1993) (112)
Geometry and Physics (2009) (109)
Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality (2000) (109)
An analysis of the two-vortex case in the Chern-Simons Higgs model (1997) (106)
The Lp-Spaces (1998) (105)
Generalized Dirichlet forms and harmonic maps (1997) (105)
Synchronization of Discrete-Time Dynamical Networks with Time-Varying Couplings (2008) (103)
Compact Riemann Surfaces - An Introduction to Contemporary Mathematics, Third Edition (2006) (103)
The differential equation $\Delta u = 8\pi - 8\pi h\exp {u}$ on a compact Riemann surface (1997) (102)
Allard type regularity results for varifolds with free boundaries (1986) (98)
Information Decomposition of Target Effects from Multi-Source Interactions: Perspectives on Previous, Current and Future Work (2018) (94)
Autonomy: An information theoretic perspective (2008) (92)
Forman curvature for complex networks (2016) (92)
Synchronization of networks with prescribed degree distributions (2004) (90)
Network synchronization: Spectral versus statistical properties (2006) (90)
Information geometry and sufficient statistics (2012) (89)
Nonlinear Methods in Riemannian and Kählerian Geometry (1988) (87)
Compact Riemann Surfaces (2002) (87)
Subelliptic harmonic maps (1998) (87)
THE DIFFERENTIAL EQUATION Δu = 8π − 8πheu ON A COMPACT RIEMANN SURFACE (2018) (86)
Shared Information -- New Insights and Problems in Decomposing Information in Complex Systems (2012) (86)
Graph spectra as a systematic tool in computational biology (2007) (85)
Some Aspects of the global Geometry of Entire Space-Like Submanifolds (2001) (83)
Dynamical Systems - Examples of Complex Behaviour (2005) (82)
Riemannian Geometry and Geometric Analysis, 5th Edition (2008) (81)
Comparative analysis of two discretizations of Ricci curvature for complex networks (2017) (80)
Vanishing theorems for L^2-cohomology on infinite coverings of compact Kahler manifolds and applications in algebraic geometry (2000) (75)
Classification of solutions of a Toda system in ℝ2 (2001) (73)
Boundary regularity for minima of certain quadratic functionals (1983) (70)
Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties (1997) (68)
Coupled dynamics on hypergraphs: Master stability of steady states and synchronization. (2020) (67)
Characterizing complex networks with Forman-Ricci curvature and associated geometric flows (2016) (66)
Harmonic maps between surfaces (1984) (66)
Gene and genon concept: coding versus regulation (2007) (65)
Harmonic mappings and Kähler manifolds (1983) (61)
Genotype networks in metabolic reaction spaces (2010) (59)
Reliability of Synaptic Transmission at the Synapses of Held In Vivo under Acoustic Stimulation (2009) (58)
Hypergraph Laplace operators for chemical reaction networks (2018) (57)
On the existence of harmonic diffeomorphisms between surfaces (1982) (56)
Inhibition of rhythmic neural spiking by noise: the occurrence of a minimum in activity with increasing noise (2009) (55)
External and internal complexity of complex adaptive systems (2004) (54)
Inhibition and modulation of rhythmic neuronal spiking by noise. (2009) (54)
A geometric approach to complexity. (2011) (53)
On embedded minimal disks in convex bodies (1986) (53)
Deficits in Long-Term Recognition Memory Reveal Dissociated Subtypes in Congenital Prosopagnosia (2011) (52)
The gene and the genon concept: a functional and information-theoretic analysis (2007) (51)
Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds. (1985) (51)
Spectral plot properties: Towards a qualitative classification of networks (2008) (51)
Hysteresis Effects of Changing Parameters of Noncooperative Games (2010) (50)
Exploration of the chemical space and its three historical regimes (2019) (49)
Self-organization in Balanced State Networks by STDP and Homeostatic Plasticity (2015) (49)
A UNIFYING FRAMEWORK FOR COMPLEXITY MEASURES OF FINITE SYSTEMS (2006) (48)
Bernstein type theorems for higher codimension (1999) (47)
Liouville Theorems for Dirac-Harmonic Maps (2007) (47)
Reconsidering unique information: Towards a multivariate information decomposition (2014) (47)
The boundary value problem for Dirac-harmonic maps (2013) (47)
Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplacian (2009) (46)
Harmonic maps between surfaces : with a special chapter on conformal mappings (1984) (46)
Networks: From Biology to Theory (2007) (45)
Information storage, loop motifs, and clustered structure in complex networks. (2012) (44)
Univalency of harmonic mappings between surfaces. (1981) (44)
Harmonic maps which solve a free-boundary problem. (1987) (44)
On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements: Synchronization and complexity (2003) (44)
Existence and Liouville theorems for V -harmonic maps from complete manifolds (2012) (44)
Nonlinear Dirac equations on Riemann surfaces (2007) (41)
Entanglement of formation for a class of quantum states (2003) (41)
The blow up analysis of solutions of the elliptic sinh-Gordon equation (2007) (41)
An introduction to the mathematical structure of the Wright–Fisher model of population genetics (2012) (39)
Arakelov type inequalities for Hodge bundles over algebraic varieties, Part I: Hodge bundles over algebraic curves (2002) (38)
Self Duality Equations for Ginzburg–Landau¶and Seiberg–Witten Type Functionals¶with 6th Order Potentials (2001) (38)
Variational aspects of the Seiberg-Witten functional (1995) (38)
Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere (1999) (38)
Karl Theodore Sturm: The geometric aspect of Dirichlet forms (1998) (38)
The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values (1984) (38)
Spectral plots and the representation and interpretation of biological data (2007) (38)
A Riemannian version of Korn's inequality (2002) (37)
Forman-Ricci Flow for Change Detection in Large Dynamic Data Sets (2016) (37)
New Directions in Dirichlet Forms (1998) (37)
Comparison between Different Methods of Level Identification (2014) (35)
The Gauss image of entire graphs of higher codimension and Bernstein type theorems (2010) (35)
Some explicit constructions of Dirac-harmonic maps (2009) (35)
A strong rigidity theorem for a certain class of compact complex analytic surfaces (1985) (35)
Geometric analysis and the calculus of variations for Stefan Hildebrandt (1996) (35)
The dual Cheeger constant and spectra of infinite graphs (2012) (34)
Morse-Conley theory for minimal surfaces of varying topological type (1990) (34)
Spike transmission delay at the calyx of Held in vivo: rate dependence, phenomenological modeling, and relevance for sound localization. (2009) (33)
Chimpanzees return favors at a personal cost (2017) (32)
Analysis of inverse stochastic resonance and the long-term firing of Hodgkin–Huxley neurons with Gaussian white noise (2012) (32)
Weak Noise in Neurons May Powerfully Inhibit the Generation of Repetitive Spiking but Not Its Propagation (2010) (32)
A Bernstein theorem for special Lagrangian graphs (2001) (32)
The effects of various spatial distributions of weak noise on rhythmic spiking (2011) (31)
Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem (2017) (31)
A global weak solution of the Dirac-harmonic map flow (2017) (31)
Chaos synchronization in networks of coupled maps with time-varying topologies (2008) (30)
The geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension (2011) (30)
Systematic evaluation of a new combinatorial curvature for complex networks (2016) (30)
A Maximum Principle for Generalizations of Harmonic Maps in Hermitian, Affine, Weyl, and Finsler Geometry (2015) (30)
Mathematical Methods in Biology and Neurobiology (2014) (29)
The regularity of harmonic maps into spheres and applications to Bernstein problems (2009) (29)
The maximum principle and the Dirichlet problem for Dirac-harmonic maps (2013) (29)
Existence results for embedded minimal surfaces of controlled topological type, I (1986) (29)
Regularity of Solutions of the Nonlinear Sigma Model with Gravitino (2016) (29)
How should complexity scale with system size? (2008) (29)
Harmonic Mappings and Algebraic Varieties Over Function Fields (1993) (29)
Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays (2009) (28)
Moment analysis of the Hodgkin–Huxley system with additive noise (2009) (28)
A Mathematical Introduction to String Theory (1997) (26)
Metrics of constant curvature on a Riemann surface with two corners on the boundary (2007) (26)
A nonparametric proof of the theorem of Lusternik and Schnirelman (1989) (26)
Spaces of nonpositive curvature (1997) (26)
Spectral Characterization of Network Structures and Dynamics (2009) (25)
Information and closure in systems theory (2006) (24)
Asymptotic limits of a Ginzburg-Landau type functional (1996) (24)
Super-Liouville Equations on Closed Riemann Surfaces (2005) (24)
Embedded minimal surfaces in manifolds diffeomorphic to the three-dimensional ball or sphere (1989) (24)
Universal Bounds for Eigenvalues of the Polyharmonic Operators (2009) (24)
A New Nonlocal H1 Model for Image Denoising (2012) (23)
On extractable shared information (2017) (23)
A mathematical introduction to string theory : variational problems, geometric and probabilistic methods (1997) (23)
Information Geometry and Population Genetics (2017) (23)
Statistics of Natural Binaural Sounds (2014) (23)
Coarse geometry of evolving networks (2018) (23)
The differential equation on a compact Riemann surface (1997) (22)
Spectral classes of regular, random, and empirical graphs (2014) (22)
Discrete curvatures and network analysis (2017) (22)
The qualitative behavior at the free boundary for approximate harmonic maps from surfaces (2018) (22)
Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II (2011) (21)
The Early Time Course of Compensatory Face Processing in Congenital Prosopagnosia (2010) (21)
Omori–Yau maximum principles, $$V$$V-harmonic maps and their geometric applications (2014) (21)
On the gestalt concept (2006) (21)
The boundary value problem for the super-Liouville equation (2014) (20)
Curvature estimates in dimensions 2 and 3 for the level sets of p-harmonic functions in convex rings (2012) (20)
The strong rigidity of locally symmetric complex manifolds of rank one and finite volume (1986) (20)
Existence proofs for harmonic mappings with the help of a maximum principle (1983) (20)
Novikov-Morse theory for dynamical systems (2000) (19)
A review of methods for identifying stochastic resonance in simulations of single neuron models (2015) (19)
Ollivier Ricci curvature of directed hypergraphs (2019) (19)
Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces (2003) (19)
Quantifying structure in networks (2009) (19)
Geometric analysis of the action functional of the nonlinear supersymmetric sigma model (2015) (19)
On the rigidity of certain discrete groups and algebraic varieties (1987) (19)
Discrete Ricci curvatures for directed networks (2018) (19)
Harmonic maps and curvature computations in Teichmüller theory (1991) (19)
Affine harmonic maps (2009) (19)
Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow (2017) (19)
Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network. (2019) (19)
On the regularity of minimal surfaces with free boundaries in Riemannian manifolds (1986) (18)
Computing with bacterial constituents, cells and populations: from bioputing to bactoputing (2011) (18)
Symbolic synchronization and the detection of global properties of coupled dynamics from local information. (2006) (18)
Super Riemann surfaces, metrics, and gravitinos (2014) (18)
A notion of nonpositive curvature for general metric spaces (2014) (18)
Cohomologies of unipotent harmonic bundles over noncompact curves (2007) (18)
Minimum Vertex Covers and the Spectrum of the Normalized Laplacian on Trees (2010) (18)
Parametrized measure models (2015) (17)
Dirac-geodesics and their heat flows (2015) (17)
A simple differential geometry for complex networks (2020) (17)
STDP-driven networks and the C. elegans neuronal network (2010) (17)
Vanishing theorems for L2-cohomology groups (2000) (17)
Green functions and conformal geometry (1999) (17)
Forman-Ricci Curvature for Hypergraphs (2018) (17)
Dirac-harmonic maps between Riemann surfaces (2019) (17)
Minimal Graphic Functions on Manifolds of Nonnegative Ricci Curvature (2013) (16)
Lq harmonic functions on graphs (2013) (16)
Wilfrid S. Kendall: From stochastic parallel transport to harmonic maps (1998) (16)
Symmetries and conservation laws of a nonlinear sigma model with gravitino (2017) (16)
Energy identities and blow-up analysis for solutions of the super Liouville equation (2009) (16)
From the Jordan Product to Riemannian Geometries on Classical and Quantum States (2020) (15)
A note on harmonic maps between surfaces (1985) (15)
Interlacing inequalities for eigenvalues of discrete Laplace operators (2011) (15)
Representation of Markov chains by random maps: existence and regularity conditions (2012) (15)
Unique Informations and Deficiencies (2018) (15)
Synchronization in discrete-time networks with general pairwise coupling (2009) (15)
The stochastic Fitzhugh–Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model (2018) (14)
Evolution of network structure by temporal learning (2008) (14)
The cohomology of a variation of polarized Hodge structures over a quasi-compact K\ (2003) (14)
Riemannian metrics on Teichmüller space (1996) (14)
Coarse-Graining and the Blackwell Order (2017) (14)
Network geometry and market instability (2020) (14)
Dynamic coupling of excitatory and inhibitory responses in the medial nucleus of the trapezoid body (2008) (14)
Manifolds of classical probability distributions and quantum density operators in infinite dimensions (2019) (14)
Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature (2013) (14)
On the notion of fitness, or: The selfish ancestor (2003) (13)
Coherent neural oscillations induced by weak synaptic noise (2018) (13)
A simple parameter can switch between different weak-noise–induced phenomena in a simple neuron model (2017) (13)
A General Solution of the Wright–Fisher Model of Random Genetic Drift (2012) (13)
Lectures on harmonic maps (1985) (13)
Curvature-based Methods for Brain Network Analysis (2017) (13)
Forman curvature for directed networks (2016) (13)
The qualitative boundary behavior of blow-up solutions of the super-Liouville equations (2014) (13)
Can one see the shape of a network? (2016) (13)
A spherical Bernstein theorem for minimal submanifolds of higher codimension (2014) (12)
Chinese characters reveal impacts of prior experience on very early stages of perception (2011) (12)
Applications of harmonic maps between surfaces (1984) (12)
Group actions, gauge transformations, and the calculus of variations (1992) (12)
A Nonlocal Version of the Osher-Solé-Vese Model (2012) (12)
A computational model of dysfunctional facial encoding in congenital prosopagnosia (2011) (12)
Randomness, chaos, and structure (2007) (12)
Decomposing Textual Information For Style Transfer (2019) (12)
Multilinear models of single cell responses in the medial nucleus of the trapezoid body (2010) (12)
Deriving pairwise transfer entropy from network structure and motifs (2019) (12)
Laplacian Spectrum and Protein-Protein Interaction Networks (2007) (12)
Bosonic Strings: A Mathematical Treatment (2001) (11)
Harmonic maps and rigidity theorems for spaces of nonpositive curvature (1999) (11)
Energy quantization for a nonlinear sigma model with critical gravitinos (2017) (11)
Random perturbations of spiking activity in a pair of coupled neurons (2008) (11)
The Geometric Meaning of Curvature: Local and Nonlocal Aspects of Ricci Curvature (2017) (11)
Formal Aspects of the Emergence of Institutions (2005) (11)
Curvature estimates for minimal submanifolds of higher codimension and small G-rank (2012) (11)
The Geometry of Maximum Principles and a Bernstein Theorem in Codimension 2 (2018) (11)
From Actions to Effects: Three Constraints on Event Mappings (2018) (11)
Closure measures for coarse-graining of the tent map. (2014) (11)
Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem (2018) (10)
Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary (2018) (10)
Normalized Laplace operators for hypergraphs with real coefficients (2020) (10)
Non-cooperative game theory in biology and cooperative reasoning in humans (2015) (10)
Vanishing Pohozaev constant and removability of singularities (2017) (10)
Short-time existence of the α-Dirac-harmonic map flow and applications (2020) (10)
Noise delays onset of sustained firing in a minimal model of persistent activity (2004) (10)
A local estimate for super-Liouville equations on closed Riemann surfaces (2015) (10)
A new nonlocal variational setting for image processing (2015) (9)
Non-divergence harmonic maps (2010) (9)
Hopf bifurcation in the evolution of networks driven by spike-timing-dependent plasticity. (2012) (9)
Cheeger‐like inequalities for the largest eigenvalue of the graph Laplace operator (2019) (9)
A maximum principle for harmonic mappings which solve a Dirichlet problem (1982) (9)
Response to commentaries on our paper gene and genon concept: coding versus regulation (2009) (9)
α-Dirac-harmonic maps from closed surfaces (2019) (9)
Polynomial growth harmonic functions on groups of polynomial volume growth (2012) (9)
Individual strategies in complementarity games and population dynamics (2004) (9)
ON THE NOTION OF COMPLEXITY (1998) (8)
Harmonic bundles on quasi-compact Kähler manifolds (2001) (8)
Working in a multitude of trends – species balancing populations* (2004) (8)
Discrete-to-Continuous Extensions: piecewise multilinear extension, min-max theory and spectral theory (2021) (8)
Vanishing theorems for L 2 -cohomology groups (1997) (8)
Continuity of minimal surfaces with piecewise smooth free boundaries (1987) (8)
Polynomial growth harmonic functions on finitely generated abelian groups (2011) (8)
Network Analysis for the Digital Humanities: Principles, Problems, Extensions (2019) (8)
Liouville property and non-negative Ollivier curvature on graphs. (2019) (8)
Weak-noise-induced transitions with inhibition and modulation of neural oscillations (2017) (8)
Individual optimization efforts and population dynamics: a mathematical model for the evolution of resource allocation strategies, with applications to reproductive and mating systems (2008) (8)
Biological information (2020) (8)
Harmonic nets in metric spaces (2007) (8)
Finite Information Geometry (2017) (8)
An information theoretic approach to system differentiation on the basis of statistical dependencies between subsystems (2007) (8)
Topology and curvature of metric spaces (2019) (8)
Symbolic dynamics and synchronization of coupled map networks with multiple delays (2008) (8)
Nonlinear methods in Riemannian and Kählerian geometry : delivered at the German Mathematical Society Seminar in Düsseldorf in June, 1986 (1988) (7)
Harmonic mappings and moduli spaces of Riemann surfaces (2009) (7)
The free energy method and the Wright–Fisher model with 2 alleles (2015) (7)
Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C∗-Algebras (2020) (7)
Temporal correlation based learning in neuron models (2005) (7)
Coarse regularity of solutions to a nonlinear sigma-model with $$L^p$$Lp gravitino (2017) (7)
From Harmonic Maps to the Nonlinear Supersymmetric Sigma Model of Quantum Field Theory: at the Interface of Theoretical Physics, Riemannian Geometry, and Nonlinear Analysis (2017) (7)
Regularity of Dirac-harmonic maps with -curvature term in higher dimensions (2017) (7)
Bifurcation of minimal surfaces in Riemannian manifolds (1995) (7)
Network Topology vs. Geometry: From persistent Homology to Curvature (2017) (7)
Adaptive Sequential Feature Selection for Pattern Classification (2012) (7)
Maps With Prescribed Tension Fields (2003) (7)
Erratum to: A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry (1994) (7)
A hierarchical extension scheme for backward solutions of the Wright–Fisher model (2014) (6)
On the Existence of Embedded Minimal Surfaces of Higher Genus with Free Boundaries in Riemannian Manifolds (1987) (6)
Super Riemann surfaces, metrics, and the gravitino (2014) (6)
Unique Information and Secret Key Decompositions (2019) (6)
Preferring the fittest mates: an analytically tractable model. (2013) (6)
Existence of (Dirac-)harmonic Maps from Degenerating (Spin) Surfaces (2020) (6)
Adaptive Information-Theoretical Feature Selection for Pattern Classification (2012) (6)
Characterizations of Forman curvature (2021) (6)
Gradient estimates and Liouville theorems for Dirac-harmonic maps (2014) (6)
Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces (2017) (6)
The geometry of moduli spaces of stable vector bundles over riemann surfaces (1991) (6)
$$\alpha $$-Dirac-harmonic maps from closed surfaces (2019) (6)
Jürgen Jost: Nonlinear Dirichlet forms (1998) (6)
Predicting intelligence from fMRI data of the human brain in a few minutes of scan time (2021) (6)
The evolution of moment generating functions for the Wright-Fisher model of population genetics. (2014) (6)
A Simple Differential Geometry for Networks and its Generalizations (2019) (6)
The free energy method for the Fokker-Planck equation of the Wright-Fisher model (2015) (6)
A Mathematical Introduction to String Theory: Cauchy–Riemann operators (1997) (5)
A mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor (2017) (5)
Umberto Mosco: Dirichlet forms and self-similarity (1998) (5)
Submanifolds with constant Jordan angles and rigidity of the Lawson-Osserman cone (2018) (5)
Consensus and Synchronization in Delayed Networks of Mobile Multi-agents (2011) (5)
Finite energy and totally geodesic maps from locally symmetric spaces of finite volume (1996) (5)
Information theory, gene expression, and combinatorial regulation: a quantitative analysis (2014) (5)
Spectral Gap of the Largest Eigenvalue of the Normalized Graph Laplacian (2019) (5)
A hierarchical extension scheme for solutions of the Wright–Fisher model (2014) (5)
Edge-based analysis of networks: curvatures of graphs and hypergraphs (2020) (5)
Bubbling analysis near the Dirichlet boundary for approximate harmonic maps from surfaces (2019) (5)
Embedded minimal disks with a free boundary on a polyhedron in ℝ3 (1988) (5)
Energy quantization for a singular super-Liouville boundary value problem (2019) (5)
10 Action-Oriented Models of Cognitive Processing A Little Less Cogitation , A Little More Action Please (2016) (5)
Probabilistic morphisms and Bayesian nonparametrics (2021) (5)
Differentiation in Banach Spaces (1998) (5)
Detecting the Coarse Geometry of Networks (2018) (5)
Discrete-to-Continuous Extensions: Lov\'asz extension, optimizations and eigenvalue problems (2021) (5)
Universal moduli spaces of Riemann surfaces (2016) (5)
Information and Complexity, or: Where is the Information? (2020) (4)
Morse Theory and Closed Geodesics (1995) (4)
Probabilistic Mappings and Bayesian Nonparametrics (2019) (4)
A Mathematical Introduction to String Theory: Introduction (1997) (4)
Harmonic maps and Kähler geometry (1991) (4)
Harmonic maps — Analytic theory and geometric significance (1988) (4)
Michael Röckner: Stochastic analysis on configuration spaces: Basic ideas and recent results (1998) (4)
Spiking time-dependent plasticity leads to efficient coding of predictions (2019) (4)
Relations and dependencies between morphological characters (2017) (4)
Sensorimotor Contingencies and the Dynamical Creation of Structural Relations Underlying Percepts (2016) (4)
Graph Ricci curvatures reveal atypical functional connectivity in autism spectrum disorder (2022) (4)
Generalized Ricci curvature and the geometry of graphs (2013) (4)
$p$-Laplace Operators for Chemical Hypergraphs. (2020) (4)
p-Laplace Operators for Oriented Hypergraphs (2020) (4)
An exploratory study of heuristics for anticipating prices (2021) (4)
The Cramér-Rao Inequality on Singular Statistical Models (2017) (4)
Action-Oriented Models of Cognitive Processing (2016) (4)
The Chemical Space from Which the Periodic System Arose (2019) (4)
Biology, geometry and information (2019) (4)
Geometric Sampling of Networks (2020) (3)
Periodic Strategies: a New solution Concept and an Algorithm for nontrivial Strategic Form Games (2013) (3)
Boundary regularity for minimal graphs and mean curvature flows with higher codimension (2017) (3)
The expansion of chemical space in 1826 and in the 1840s prompted the convergence to the periodic system (2022) (3)
Obituary for Olaf Breidbach (2014) (3)
Correction to “A nonparametric proof of the theorem of Lusternik and Schnirelman” (1991) (3)
Representations of fundamental groups of algebraic manifolds and their restrictions to fibers of a fibration (2000) (3)
Optimization and Phenotype Allocation (2014) (3)
Reinforcement learning in complementarity game and population dynamics. (2014) (3)
Optimal Resonances in Multiplex Neural Networks Driven by an STDP Learning Rule (2022) (3)
On the existence of harmonic maps from a surface into the real projective plane (1986) (3)
Global existence of the harmonic map heat flow into Lorentzian manifolds (2019) (3)
Partial regularity for a nonlinear sigma model with gravitino in higher dimensions (2017) (3)
Relations between graphs (2012) (3)
Short-time existence of the alpha-Dirac-harmonic map flow and applications (2019) (3)
Closure Measures and the Tent Map (2013) (3)
Regularity of Dirac-harmonic maps with $$\lambda $$-curvature term in higher dimensions (2019) (3)
On the regular representation of measures (2016) (3)
Object oriented models vs. data analysis -- is this the right alternative? (2015) (3)
Conley Index Theory and Novikov-Morse Theory (2003) (3)
Information Decomposition of Target Effects from Multi-Source Interactions (2018) (3)
Challenges in experimental data integration within genome-scale metabolic models (2010) (3)
Existence and non-existence of minimal graphs (2017) (3)
Ricci curvature of random and empirical directed hypernetworks (2020) (3)
Topological representation of the geometry of metric spaces (2020) (3)
Harmonic maps of infinite energy and rigidity results for quasiprojective varieties (1994) (3)
Degree difference: a simple measure to characterize structural heterogeneity in complex networks (2020) (3)
Random walks and Laplacians on hypergraphs: When do they match? (2021) (3)
The uniqueness of hierarchically extended backward solutions of the Wright–Fisher model (2014) (3)
Invariant Geometric Structures on Statistical Models (2015) (2)
Energy identity and necklessness for a nonlinear supersymmetric sigma model (2022) (2)
Computational data analysis shows that key developments towards the periodic system occurred in the 1840s (2021) (2)
Geometry of Data (2022) (2)
Submanifolds with constant Jordan angles (2015) (2)
It Means More if It Sounds Good: Yet Another Hypotheses Concerning the Evolution of Polysemous Words (2020) (2)
An atlas of fragrance chemicals in children's products. (2021) (2)
Book Review: Variational methods (Applications to nonlinear PDE and Hamiltonian systems) (1993) (2)
Global Analysis of Synchronization in Coupled Maps (2004) (2)
Learning, Evolution and Population Dynamics (2008) (2)
Differentiation of measures on complete Riemannian manifolds (2020) (2)
Learning and structure of neuronal networks (2011) (2)
Boundedly rational strategic interaction and the interplay between complexity and simplification: Implications for strategy science (2019) (2)
Existence and Liouville theorems for V -harmonic maps from complete manifolds (2012) (2)
Formal Tools for the Analysis of Brain-Like Structures and Dynamics (2009) (2)
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J ul 2 00 4 On the Synchronization of Networks with Prescribed Degree Distributions (2004) (1)
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Value of information in noncooperative games (2013) (1)
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Information Geometry and Sufficient Statistics Information Geometry and Sufficient Statistics (1)
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Information geometry of noncooperative games (2013) (1)
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A Formal Framework for Strategic Representations and Conceptual Reorganization (2014) (1)
A Review of Examples (2015) (1)
Generalized harmonic maps (1997) (1)
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Another Proof of Oscar Rojo's Theorems (2010) (0)
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Spherical Bernstein theorems for codimension 1 and 2 (2019) (0)
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Fields of Application of Information Geometry (2017) (0)
The Intrinsic Geometry of Statistical Models (2017) (0)
Curvature-based Analysis of Connectivity Structure in Brain Networks (2017) (0)
Graph Ricci Curvatures Reveal Disease-related Changes in Autism Spectrum Disorder (2021) (0)
Integrals and Ordinary Differential Equations (1998) (0)
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Leibniz’ System (2019) (0)
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A Mathematical Introduction to String Theory: The Faddeev–Popov procedure for bosonic strings (1997) (0)
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Lq harmonic functions on graphs (2014) (0)
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Adaptive strategies to contain the COVID 19 epidemic Summary (2020) (0)
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Novikov-Morse Theory for Dynamical Systems II (2003) (0)
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Object-Based Dynamics: Applying Forman-Ricci Flow on a Multigraph to Assess the Impact of an Object on The Network Structure (2022) (0)
Some principles of analysis (1988) (0)
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A New Solution Concept and an Algorithm for Non-Trivial Strategic Form Games (2018) (0)
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Inferring Global Synchrony from Local Symbolic Dynamics (2013) (0)
Cheeger inequalities on simplicial complexes (2023) (0)
A Mathematical Introduction to String Theory: Formal Lebesgue measures on Hilbert spaces (1997) (0)
Green functions and conformal geometry, I + II (1997) (0)
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Correction to “Bifurcation of minimal surfaces in Riemannian manifolds” (1997) (0)
Bidding with Coordination Risks (2017) (0)
Chapter 6 Symmetric Spaces and Kähler Manifolds (2011) (0)
The Palais-Smale Condition and Closed Geodesics (1995) (0)
Ja n 20 01 A Bernstein Theorem for Special Lagrangian Graphs by Jürgen (2008) (0)
Avoiding the Bias due to Nonzero Mean Input in Volterra Series Analysis (2007) (0)
Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces (2017) (0)
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Local detour centrality: a novel local centrality measure for weighted networks (2022) (0)
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Variational Problems from Quantum Field Theory (1998) (0)
Non-cooperative game theory in biology and cooperative reasoning in humans (2015) (0)
Introduction to the second special issue in commemoration of Olaf Breidbach (2017) (0)
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Editorial (1996) (0)
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Relations and dependencies between morphological characters (2017) (0)
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Chapter 6 Geodesics and Jacobi Fields (2017) (0)
Chapter 7 Symmetric Spaces and Kähler Manifolds (2017) (0)
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Obituary for Olaf Breidbach (2014) (0)
Existence Techniques II: Parabolic Methods. The Heat Equation (2013) (0)
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Chapter 5 Geodesics and Jacobi Fields (2011) (0)
Geodesics and Jacobi Fields (1995) (0)
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Introduction to the special issue in commemoration of Olaf Breidbach (2016) (0)
Selected Bibliography with Commentaries (2016) (0)
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Nonlinear Physics Everywhere: From Molecules to Cities (2008) (0)
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Energy quantization for a singular super-Liouville boundary value problem (2020) (0)
D ec 2 01 9 Unique Informations and Deficiencies (2019) (0)
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Group level effects of social versus individual learning (2013) (0)
Introduction to the second special issue in commemoration of Olaf Breidbach (2017) (0)
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Chapter 2 Lie Groups and Vector Bundles (2011) (0)
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What Is Space (2015) (0)
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Periodic Strategies II: Generalizations and Extensions (2020) (0)
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In Memory of Eberhard Zeidler (2019) (0)
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Noise delays bifurcation in a positively coupled neural circuit (2000) (0)
A nonparametric Bayesian approach to adaptive sampling of psychometric functions (2009) (0)
A Maximum Principle for Generalizations of Harmonic Maps in Hermitian, Affine, Weyl, and Finsler Geometry (2014) (0)
Forbidden sequences in symbolic dynamics of delayed maps and networks (2007) (0)
A Categorization of Face Recognition Deficits in Congenital Prosopagnosia (2010) (0)
Chapter 5 Geometry of Submanifolds (2017) (0)
In Memory of Eberhard Zeidler (2019) (0)
The first $L^2$-Betti number for classifying spaces of variations of Hodge structures (2003) (0)
Strategic Rational Expectations – Towards A Theory of The Coordination of Expectations (2010) (0)
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Game Theory in Biology and Anthropology (2014) (0)
Periodic Strategies and Rationalizability in Perfect Information 2-Player Strategic Form Games (2013) (0)
K\"ahler manifolds and fundamental groups of negatively $\delta$-pinched manifolds (2003) (0)
Presentation of the Text (2016) (0)
Interactions between discrete and continuous optimization and critical point theory via multi-way Lovász extensions (2020) (0)
Convex functions and centers of mass (1997) (0)
A New Nonlocal H1 Model for Image Denoising (2012) (0)
Chapter 8 Morse Theory and Floer Homology (2017) (0)
Geometric Structures and Information Geometry (2017) (0)
Consensus in Networks of Discrete-Time Multi-agent Systems: Dynamical Topologies and Delays (2014) (0)
Chapter 9 Harmonic Maps from Riemann Surfaces (2011) (0)
Limits and Continuity of Functions (2003) (0)
Integration by Parts. Weak Derivatives. Sobolev Spaces (1998) (0)
Estimates for the largest eigenvalue of the normalized Laplace operator of a graph (2009) (0)
Subelliptic Harmonic Maps with Values in Metric Spaces of Nonpositive Curvature (2022) (0)
Visual masking as interaction of prediction and certainty (2010) (0)
Relationships Between Different Partial Differential Equations (2013) (0)
Reception and Influence of Riemann’s Text (2016) (0)
A Mathematical Introduction to String Theory: Determinant bundles (1997) (0)
Chapter 9 Harmonic Maps Between Riemannian Manifolds (2017) (0)
Preparations. Semicontinuous Functions (1998) (0)
Existence theorems for harmonic maps between surfaces (1984) (0)
Leibniz and the Calculus of Variations (2019) (0)
Differential Calculus in ℝd (2003) (0)
3 Dynamical Networks (2006) (0)
A Mathematical Introduction to String Theory: Correlation functions (1997) (0)
The free energy method and the Wright–Fisher model with 2 alleles (2015) (0)
The parabolic Yang-Mills equation (1988) (0)
Spiking time-dependent plasticity leads to efficient coding of predictions (2019) (0)
Mathematics, Biology and Neurobiology: A Profound Interaction (2008) (0)
Mathematik in den Naturwissenschaften Leipzig Harmonic metrics on unipotent bundles over quasi-compact Kähler manifolds (2009) (0)
Symmetric Spaces and Kähler Manifolds (1995) (0)
Inverse stochastic resonance in neuronal models: modulation and inhibition of rhythmic spiking by noise (2009) (0)
Curves in ℝ d . Systems of ODEs (2003) (0)
A Generalized Discrete Morse–Floer Theory (2019) (0)
A Mathematical Introduction to String Theory: Topological and metric structures on the space of mappings and metrics (1997) (0)
A Short Survey on Curvature and Topology (2011) (0)
Randomness, Heterogeneity and Population Dynamics (2013) (0)
Spaces of Relations (2015) (0)
Mathematik in den Naturwissenschaften Leipzig Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces by Jürgen Jost and (2003) (0)
Overview and Perspective (2015) (0)
Chapter 8 Harmonic Maps between Riemannian Manifolds (2011) (0)
A spherical Bernstein theorem for minimal submanifolds of higher codimension (2018) (0)
A Mathematical Introduction to String Theory: Quantization by functional integrals (1997) (0)
Existence Techniques I: Methods Based on the Maximum Principle (2013) (0)
Differential Calculus in ℝ d (1998) (0)
A-priori C1,α-estimates (1984) (0)
Introduction: What Are Partial Differential Equations? (2013) (0)
A Mathematical Introduction to String Theory: Small time asymptotics for heat-kernel regularized determinants (1997) (0)
Articoli/2 Leibniz and Modern Physics* (2022) (0)
Chapter 1 Riemannian Manifolds (2011) (0)
Partial regularity for a nonlinear sigma model with gravitino in higher dimensions (2018) (0)
Symbolic dynamics for delayed maps and networks (2008) (0)
How signatures affect expected return and volatility: a rough model under transaction cost (2019) (0)
A Mathematical Introduction to String Theory: The two-dimensional Plateau problem (1997) (0)
Shing-Tung Yau as a personality creating and shaping the field of geometric analysis (2019) (0)
A G ] 3 1 D ec 2 00 7 Cohomologies of Harmonic Bundles on Quasi-Compact Kähler manifolds (2009) (0)
Variational Principles and Partial Differential Equations (1998) (0)
The Convergence Theorems of Lebesgue Integration Theory (1998) (0)
Geometry and analysis of the Yang-Mills-Higgs-Dirac model. (2019) (0)
Chapter 4 Connections and Curvature (2011) (0)
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Harmonic maps and singularities of period mappings (2015) (0)
Moment Generating and Free Energy Functionals (2017) (0)
The geometry of recombination (2019) (0)
Game Theory. Mathematical and Conceptual Aspects (2013) (0)
Chapter 11 Variational Problems from Quantum Field Theory (2017) (0)
De Rham Cohomology and Harmonic Differential Forms (1995) (0)
Differential Geometry of Riemann Surfaces (1997) (0)
Harmonic coordinates. C2, α - a - priori estimates for harmonic maps (1984) (0)
Mathematik in den Naturwissenschaften Leipzig Fractal Stationary Density in Coupled Maps (2004) (0)
The Transformation Formula (1998) (0)
Parallel Transport, Connections, and Covariant Derivatives (1995) (0)
The Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III) (2013) (0)
Optimization and Phenotype Allocation (2013) (0)
Evolving neural networks to follow trajectories of arbitrary complexity (2019) (0)
Chapter 3 The Laplace Operator and Harmonic Differential Forms (2011) (0)
The Backward Equation (2017) (0)
Harmonic maps from surfaces of arbitrary genus into spheres (2019) (0)
Regularity of Solutions of the Nonlinear Sigma Model with Gravitino (2017) (0)
Group level effects of social versus individual learning (2013) (0)
The maximum principle and the Dirichlet problem for Dirac-harmonic maps (2012) (0)
The Wave Equation and its Connections with the Laplace and Heat Equations (2007) (0)
Polynomial growth harmonic functions on groups of polynomial volume growth (2015) (0)
On the influence of inhibitory STDP on balanced state random networks (2013) (0)
A Mathematical Introduction to String Theory: The Gaussian integration on the space of embeddings (1997) (0)
I T ] 2 7 O ct 2 01 8 Unique Informations and Deficiencies (2018) (0)
The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash (2013) (0)
Geometric applications of harmonic maps (1988) (0)
Reaction–Diffusion Equations and Systems (2013) (0)
A Mathematical Introduction to String Theory: Index (1997) (0)
Regularity of Weak Solutions (1998) (0)
A Mathematical Introduction to String Theory: The Polyakov measure in noncritical dimension and the Liouville measure (1997) (0)
Hopf bifurcation in the evolution of STDP-driven networks (2013) (0)
Chapter 10 Variational Problems from Quantum Field Theory (2011) (0)
Introduction to the special issue in commemoration of Olaf Breidbach (2016) (0)
The Banach Fixed Point Theorem. The Concept of Banach Space (1998) (0)
Functional quantization of the Høegh-Krohn and Liouville models on a compact surface (1997) (0)
Non-generating Partitions of Unimodular Maps (2015) (0)
From Harmonic Maps to the Nonlinear Supersymmetric Sigma Model of Quantum Field Theory: at the Interface of Theoretical Physics, Riemannian Geometry, and Nonlinear Analysis (2018) (0)
Information geometry, Jordan algebras, and a coadjoint orbit-like construction (2021) (0)
Information Geometry and Statistics (2017) (0)
Ricci curvature of random and empirical directed hypernetworks (2020) (0)
Discrete-to-Continuous Extensions: Lov\'asz extension and Morse theory (2020) (0)
Coarse geometric kernels for networks embedding (2023) (0)
Synaptic Time-Dependent Plasticity Leads to Efficient Coding of Predictions. (2019) (0)
Riemannian Geometry and Geometric Analysis - Jost, ReadingSample (2014) (0)
What Lie algebras can tell us about Jordan algebras (2021) (0)
Characteristic Properties of Differentiable Functions. Differential Equations (1998) (0)
The heat flow on manifolds. Existence and uniqueness of harmonic maps into nonpositively curved image manifolds (1988) (0)
Floer Homology: From Generalized Morse-Smale Dynamical Systems to Forman's Combinatorial Vector Fields (2021) (0)
Dirac-geodesics and their heat flows (2015) (0)

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