Fabio Toninelli
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Italian mathematician and physicist
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Fabio Toninellimathematics Degrees
Mathematics
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Measure Theory
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Mathematics Physics
Why Is Fabio Toninelli Influential?
(Suggest an Edit or Addition)According to Wikipedia, Fabio Toninelli is an Italian mathematician who works in probability theory, stochastic processes and probabilistic aspects of mathematical physics. Education He obtained his PhD in physics, in 2003, from Scuola Normale Superiore di Pisa.
Fabio Toninelli'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
- The Thermodynamic Limit in Mean Field Spin Glass Models (2002) (374)
- Smoothing Effect of Quenched Disorder on Polymer Depinning Transitions (2005) (100)
- Fractional Moment Bounds and Disorder Relevance for Pinning Models (2007) (93)
- The High Temperature Region of the Viana–Bray Diluted Spin Glass Model (2003) (88)
- Marginal relevance of disorder for pinning models (2008) (86)
- Replica bounds for diluted non-Poissonian spin systems (2003) (68)
- A Replica-Coupling Approach to Disordered Pinning Models (2007) (67)
- Disordered pinning models and copolymers: Beyond annealed bounds (2007) (56)
- Hierarchical pinning models, quadratic maps and quenched disorder (2007) (49)
- Quasi-polynomial mixing of the 2D stochastic Ising model with (2010) (47)
- Disorder relevance at marginality and critical point shift (2009) (46)
- Height fluctuations in interacting dimers (2014) (45)
- Estimates on path delocalization for copolymers at selective interfaces (2005) (44)
- “Zero” temperature stochastic 3D ising model and dimer covering fluctuations: A first step towards interface mean curvature motion (2010) (43)
- About the Almeida-Thouless transition line in the Sherrington-Kirkpatrick mean-field spin glass model (2002) (40)
- Dynamics of $(2+1)$-dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion (2012) (40)
- Smoothing of depinning transitions for directed polymers with quenched disorder. (2005) (37)
- On the Mixing Time of the 2D Stochastic Ising Model with “Plus” Boundary Conditions at Low Temperature (2009) (37)
- On the Critical Point of the Random Walk Pinning Model in Dimension d=3 (2009) (35)
- Mixing Times of Monotone Surfaces and SOS Interfaces: A Mean Curvature Approach (2011) (34)
- Scaling limit and cube-root fluctuations in SOS surfaces above a wall (2013) (33)
- Coarse graining, fractional moments and the critical slope of random copolymers (2008) (32)
- On the approach to equilibrium for a polymer with adsorption and repulsion (2007) (31)
- A (2+1)-dimensional growth process with explicit stationary measures (2015) (31)
- Comparison between quantum and classical dynamics in the effective action formalism (1999) (29)
- Finite-range spin glasses in the Kac limit: free energy and local observables (2004) (29)
- On the irrelevant disorder regime of pinning models (2007) (28)
- Universality for the pinning model in the weak coupling regime (2015) (28)
- Critical Properties and Finite-Size Estimates for the Depinning Transition of Directed Random Polymers (2006) (25)
- Kac limit for finite-range spin glasses. (2003) (25)
- Non-integrable Dimers: Universal Fluctuations of Tilted Height Profiles (2019) (23)
- Hierarchical pinning model in correlated random environment (2011) (19)
- (2 + 1)-DIMENSIONAL INTERFACE DYNAMICS: MIXING TIME, HYDRODYNAMIC LIMIT AND ANISOTROPIC KPZ GROWTH (2017) (19)
- Copolymers at Selective Interfaces: New Bounds on the Phase Diagram (2008) (19)
- Stochastic Heat Equation Limit of a (2 + 1)d Growth Model (2016) (18)
- Lozenge Tilings, Glauber Dynamics and Macroscopic Shape (2013) (18)
- Interaction Versus Entropic Repulsion for Low Temperature Ising Polymers (2014) (18)
- Polymer dynamics in the depinned phase: metastability with logarithmic barriers (2010) (17)
- A field-theoretical approach to the spin glass transition: models with long but finite interaction range (2004) (17)
- Mathematical modelling in risk/exposure assessment of tobacco related lung cancer. (1995) (16)
- Zero-temperature 2D stochastic Ising model and anisotropic curve-shortening flow (2014) (15)
- Copolymers at selective interfaces: settled issues and open problems (2010) (14)
- On the probability of staying above a wall for the $$(2+1)$$(2+1)-dimensional SOS model at low temperature (2014) (13)
- Stationary measure of the driven two-dimensional q-Whittaker particle system on the torus (2015) (13)
- A Smoothing Inequality for Hierarchical Pinning Models (2009) (12)
- Spin glasses: A mystery about to be solved (2004) (12)
- How quickly can we sample a uniform domino tiling of the 2L x 2L square via Glauber dynamics (2012) (11)
- Localization Transition in Disordered Pinning Models (2009) (11)
- The shape of the (2+1)d SOS surface above a wall (2012) (11)
- Lozenge Tiling Dynamics and Convergence to the Hydrodynamic Equation (2017) (10)
- Zero-temperature 2D Ising model and anisotropic curve-shortening flow (2011) (10)
- Hydrodynamic Limit and Viscosity Solutions for a Two‐Dimensional Growth Process in the Anisotropic KPZ Class (2018) (10)
- Anton Bovier: Statistical mechanics of disordered systems. A mathematical perspective (2008) (10)
- The Heat Equation Shrinks Ising Droplets to Points (2013) (9)
- Two-dimensional anisotropic KPZ growth and limit shapes (2018) (9)
- The domino shuffling algorithm and Anisotropic KPZ stochastic growth (2019) (9)
- Correlation lengths for random polymer models and for some renewal sequences (2006) (9)
- Some comments on the connection between disordered long range spin glass models and their mean field version (2003) (8)
- A (2 + 1)-Dimensional Anisotropic KPZ Growth Model with a Smooth Phase (2018) (8)
- Height fluctuations in non-integrable classical dimers (2015) (7)
- MULTI-LEVEL PINNING PROBLEMS FOR RANDOM WALKS AND SELF-AVOIDING LATTICE PATHS (2014) (6)
- Infinite Volume Limit and Spontaneous Replica Symmetry Breaking in Mean Field Spin Glass Models (2003) (5)
- Localization transition in disordered pinning models. Effect of randomness on the critical properties (2007) (5)
- Hydrodynamic Limit Equation for a Lozenge Tiling Glauber Dynamics (2016) (5)
- The stationary AKPZ equation: logarithmic superdiffusivity (2020) (5)
- THE KAC LIMIT FOR DILUTED SPIN GLASSES (2004) (5)
- A mystery about to (2004) (5)
- Convergence to equilibrium of biased plane Partitions (2009) (5)
- LECTURE NOTES ON THE DIMER MODEL (2019) (4)
- Hydrodynamic limit and viscosity solutions for a 2D growth process in the anisotropic KPZ class (2017) (4)
- Non-integrable dimer models: Universality and scaling relations (2019) (3)
- Weak coupling limit of the Anisotropic KPZ equation (2021) (3)
- The Ising--Sherrington-Kirpatrick Model in a Magnetic Field at High Temperature (2005) (3)
- Force-induced depinning of directed polymers (2006) (3)
- Giambattista Giacomin: Random Polymer Models (2008) (2)
- logt-Superdiffusivity for a Brownian particle in the curl of the 2D GFF (2021) (2)
- How quickly can we sample a uniform domino tiling of the $$2L\times 2L$$2L×2L square via Glauber dynamics? (2012) (2)
- Stochastic Heat Equation Limit of a (2 + 1)d Growth Model (2016) (1)
- The mixing time of the lozenge tiling Glauber dynamics (2022) (1)
- Entropic repulsion in $$|\nabla \phi |^p$$|∇ϕ|p surfaces: a large deviation bound for all $$p\ge 1$$p≥1 (2017) (1)
- Height function localisation on trees (2022) (1)
- A one-dimensional coagulation-fragmentation process with a dynamical phase transition (2011) (1)
- Non-reversible stationary states for majority voter and Ising dynamics on trees (2022) (0)
- HIGH TEMPERATURE SHERRINGTON-KIRKPATRICK MODEL FOR GENERAL SPINS (2008) (0)
- Interaction Versus Entropic Repulsion for Low Temperature Ising Polymers (2014) (0)
- Entropic repulsion in |∇ φ | p surfaces: a large deviation bound for all p ≥ 1 (2017) (0)
- DISORDER RELEVANCE FOR PINNING/WETTING MODELS: A REVIEW (2010) (0)
- Weakly non-planar dimers (2022) (0)
- Gaussian Fluctuations for the stochastic Burgers equation in dimension $d\geq 2$ (2023) (0)
- Non-integrable Dimers: Universal Fluctuations of Tilted Height Profiles (2020) (0)
- Logarithmic superdiffusivity of the 2-dimensional anisotropic KPZ equation (2020) (0)
- epl draft Height fluctuations in non-integrable classical dimers (2015) (0)
- Local dimer dynamics in higher dimensions (2023) (0)
- Lozenge Tiling Dynamics and Convergence to the Hydrodynamic Equation (2018) (0)
- Mixing Times of Monotone Surfaces and SOS Interfaces: A Mean Curvature Approach (2012) (0)
- Dynamics of Random Interfaces and Hydrodynamic Limits Dynamics of Random Interfaces and Hydrodynamic Limits (2020) (0)
- Dynamics of Random Interfaces and Hydrodynamic Limits (2020) (0)
- Large Scale Stochastic Dynamics (2017) (0)
- Scaling Limits in Models of Statistical Mechanics (2019) (0)
- Lozenge Tilings, Glauber Dynamics and Macroscopic Shape (2015) (0)
- Hydrodynamic limit for a 2D interlaced particle process (2020) (0)
- Hydrodynamic Limit Equation for a Lozenge Tiling Glauber Dynamics (2017) (0)
- A (2 + 1)-Dimensional Anisotropic KPZ Growth Model with a Smooth Phase (2019) (0)
- Kinetically constrained models out of equilibrium (2022) (0)
- Sharp Mixing Time Bounds for Sampling Random Surfaces (2011) (0)
- Polymer dynamics in the depinned phase: metastability with logarithmic barriers (2011) (0)
- Entropic repulsion in $|\nabla \phi|^p$ surfaces: a large deviation bound for all $p\geq 1$ (2017) (0)
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