Bruno Nachtergaele
Belgian mathematician and physicist
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Mathematics Physics
Why Is Bruno Nachtergaele Influential?
(Suggest an Edit or Addition)According to Wikipedia, Bruno Leo Zulma Nachtergaele is a Belgian mathematical physicist. Nachtergaele studied physics with a licentiate degree in 1984 from the Katholieke Universiteit Leuven. There he was awarded in 1987 a doctorate in theoretical physics under André Verbeure with dissertation Exacte resultaten voor het spin-Boson model , written in Dutch. From 1989 to 1990 Nachtergaele was an instructor at the University of Chile. At Princeton University, where he worked with Elliott Lieb, Nachtergaele was from 1991 to 1993 an instructor and from 1993 to 1996 an assistant professor of physics. At the University of California, Davis he was from 1996 to 2000 an associate professor and is since 2000 a full professor of mathematics. From 2007 to 2010 he was the chair of the Mathematics Department of the University of California, Davis.
Bruno Nachtergaele's Published Works
Published Works
- Finitely correlated states on quantum spin chains (1992) (1058)
- Functional renormalization group approach to correlated fermion systems (2011) (363)
- Lieb-Robinson Bounds and the Exponential Clustering Theorem (2005) (333)
- Essentially No Barriers in Neural Network Energy Landscape (2018) (269)
- Propagation of Correlations in Quantum Lattice Systems (2006) (196)
- Renormalization: An Introduction (2007) (189)
- Fermionic Renormalization Group Flows: Technique and Theory (2001) (179)
- Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems (2011) (168)
- Geometric aspects of quantum spin states (1993) (147)
- Truncation of a Two-Dimensional Fermi Surface due to Quasiparticle Gap Formation at the Saddle Points (1998) (140)
- The spectral gap for some spin chains with discrete symmetry breaking (1994) (114)
- Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems (2007) (111)
- Exact Antiferromagnetic Ground States of Quantum Spin Chains (1989) (108)
- Quantum diffusion of the random Schrödinger evolution in the scaling limit (2005) (102)
- Lieb-Robinson Bounds in Quantum Many-Body Physics (2010) (99)
- On the Quantum Boltzmann Equation (2003) (97)
- Breakdown of the Landau-Fermi liquid in two dimensions due to umklapp scattering (2001) (96)
- Temperature-flow renormalization group and the competition between superconductivity and ferromagnetism (2001) (92)
- Efficient Parametrization of the Vertex Function, $Ω$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling (2008) (90)
- Finitely Correlated Pure States (1994) (89)
- Perturbative renormalization and effective Lagrangians in phi**4 in four-dimensions (1990) (88)
- Continuous Renormalization for Fermions and Fermi Liquid Theory (1997) (85)
- Magnetic and Superconducting Instabilities of the Hubbard Model at the Van Hove Filling (2001) (85)
- The Spectral Gap of the Ferromagnetic XXZ-Chain (1995) (81)
- Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms (2018) (76)
- A Multi-Dimensional Lieb-Schultz-Mattis Theorem (2006) (70)
- Alignment and integration of complex networks by hypergraph-based spectral clustering (2012) (70)
- Fermionic functional renormalization group flows into phases with broken symmetry (2004) (66)
- Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams (2005) (65)
- Ground states of VBS models on cayley trees (1992) (64)
- Locality Estimates for Quantum Spin Systems (2007) (61)
- Superdiffusivity of Asymmetric Exclusion Process in Dimensions One and Two (2002) (59)
- Elementary excitations in gapped quantum spin systems. (2013) (55)
- The equilibrium states of the spin-boson model (1988) (51)
- On the flux phase conjecture at half-filling: An improved proof (1996) (49)
- Quantum Diffusion for the Anderson Model in the Scaling Limit (2005) (49)
- Persistence of Exponential Decay and Spectral Gaps for Interacting Fermions (2017) (48)
- Pertubation theory around nonnested fermi surfaces. I. Keeping the fermi surface fixed (1995) (47)
- Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics (2011) (47)
- Abundance of translation invariant pure states on quantum spin chains (1992) (44)
- Flow to strong coupling in the two-dimensional Hubbard model (2002) (43)
- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems (2017) (43)
- ON THE EXISTENCE OF THE DYNAMICS FOR ANHARMONIC QUANTUM OSCILLATOR SYSTEMS (2009) (42)
- Self-energy flows in the two-dimensional repulsive Hubbard model (2012) (39)
- Quantum theory from small to large scales (2012) (39)
- Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States (2020) (37)
- Entanglement Dynamics of Disordered Quantum XY Chains (2015) (37)
- Flow of the quasiparticle weight in the N-patch renormalization group scheme (2002) (37)
- Determinant Bounds and the Matsubara UV Problem of Many-Fermion Systems (2007) (37)
- Frequency-dependent vertex functions of the (t,t ' ) Hubbard model at weak coupling (2011) (37)
- The complete set of ground states of the ferromagnetic XXZ chains (1997) (36)
- Real-space dynamics of attractive and repulsive polarons in Bose-Einstein condensates (2018) (36)
- On Gapped Phases with a Continuous Symmetry and Boundary Operators (2013) (33)
- Droplet States in the XXZ Heisenberg Chain (2000) (32)
- Quantum Harmonic Oscillator Systems with Disorder (2012) (31)
- Product Vacua with Boundary States and the Classification of Gapped Phases (2012) (31)
- Ferromagnetic Ordering of Energy Levels (2003) (30)
- Quantum spin chains with quantum group symmetry (1995) (30)
- Perturbation Theory around Non-Nested Fermi Surfaces II. Regularity of the Moving Fermi Surface: RPA contributions (1997) (29)
- Positivity and Convergence in Fermionic Quantum Field Theory (1999) (28)
- The spectral gap for the ferromagnetic spin-J XXZ chain (2001) (28)
- Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization (2016) (28)
- Theory of a resonantly interacting impurity in a Bose-Einstein condensate (2020) (27)
- Localization properties of the disordered XY spin chain (2017) (27)
- Decay of the Fourier transform of surfaces with vanishing curvature (2006) (27)
- Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions (2005) (26)
- Equivalence of the strongly coupled lattice schwinger model and the eight-vertex model (1991) (25)
- The Renormalization Group (2011) (25)
- Local Approximation of Observables and Commutator Bounds (2011) (25)
- On the Stability of Charges in Infinite Quantum Spin Systems (2018) (24)
- A class of two-dimensional AKLT models with a gap (2019) (24)
- Approximating the ground state of gapped quantum spin systems (2009) (23)
- The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models (2016) (23)
- Much Ado About Something: Why Lieb-Robinson bounds are useful (2011) (23)
- Valence bond states on quantum spin chains as ground states with spectral gap (1991) (23)
- Product vacua with boundary states (2011) (23)
- Product Vacua and Boundary State Models in $$d$$d-Dimensions (2014) (22)
- REGULARITY OF INTERACTING NONSPHERICAL FERMI SURFACES : THE FULL SELF-ENERGY (1999) (22)
- An area law for the bipartite entanglement of disordered oscillator systems (2013) (21)
- FUNCTIONS OF MARKOV PROCESSES AND ALGEBRAIC MEASURES (1992) (20)
- A Stochastic Geometric Approach to Quantum Spin Systems (1994) (20)
- from Quantum Dynamics (2003) (20)
- Rigidity of Interfaces in the Falicov–Kimball Model (1998) (19)
- Stability of gapped ground state phases of spins and fermions in one dimension (2018) (19)
- An inversion theorem in Fermi surface theory (2000) (19)
- Enrichment and aggregation of topological motifs are independent organizational principles of integrated interaction networks. (2011) (18)
- Ferromagnetic Lieb-Mattis theorem. (2004) (18)
- Clustering of Fermionic Truncated Expectation Values Via Functional Integration (2008) (18)
- Spectral Gap and Edge Excitations of d-Dimensional PVBS Models on Half-Spaces (2015) (18)
- Quantum Tunnelling in the Spin-Boson Model (1987) (16)
- Derivation of the Euler Equations from Quantum Dynamics (2002) (16)
- Path Integral Representation for Interface States of the Anisotropic Heisenberg Model (1999) (16)
- Non-Equilibrium States of a Photon Cavity Pumped by an Atomic Beam (2012) (15)
- The Equilibrium States for a Model with Two Kinds of Bose Condensation (2002) (15)
- Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010 (2012) (15)
- Central limit theorems for the large-spin asymptotics of quantum spins (2003) (15)
- Finite-Volume Excitations of the¶111 Interface in the Quantum XXZ Model (1999) (15)
- Condensed Matter Physics and Exactly Soluble Models (2004) (15)
- Dynamical adjustment of propagators in Renormalization Group flows (2006) (15)
- Quasi-state decompositions for quantum spin systems (1993) (14)
- Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems (2021) (14)
- Translating the spin-boson model into a classical system (1988) (14)
- The large-spin asymptotics of the ferromagnetic XXZ chain (2003) (12)
- Towards the Quantum Brownian Motion (2005) (12)
- Groups of canonical transformations and the virial-Noether theorem (1986) (11)
- Entanglement in finitely correlated spin states. (2006) (11)
- Improved Power Counting and Fermi Surface Renormalization (1996) (11)
- The Temperature Zero Limit (1998) (11)
- Low-complexity eigenstates of a ν = 1/3 fractional quantum Hall system (2020) (11)
- CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI (1993) (11)
- Tunnelling in the equilibrium state of a spin-boson model (1988) (11)
- Quantum Spin Systems (2004) (10)
- Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems (2011) (10)
- Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction (2014) (10)
- Beyond the hopping expansion in the strongly coupled Schwinger model (1992) (10)
- Recent Progress in Quantum Spin Systems (2005) (10)
- Gapped PVBS models for all species numbers and dimensions (2019) (10)
- Entropy estimates for finitely correlated states (1992) (10)
- The Ferromagnetic Heisenberg XXZ chain in a pinning field (2002) (9)
- Renormalization in condensed matter: Fermionic systems – from mathematics to materials (2018) (9)
- The Mermin-Wagner Theorem (2006) (9)
- Ordering of Energy Levels in Heisenberg Models and Applications (2005) (9)
- Working with Quantum Markov States and their classical analogues (1990) (9)
- Singular Fermi Surfaces II. The Two-Dimensional Case (2007) (8)
- Interfaces and droplets in quantum lattice models (2000) (8)
- On the dynamics of lattice systems with unbounded on-site terms in the Hamiltonian (2014) (8)
- Quench Dynamics of the Ideal Bose Polaron at Zero and Nonzero Temperatures (2020) (8)
- Schwinger-Dyson Renormalization Group (2013) (8)
- Ferromagnetic Ordering of Energy Levels for U q ( sl 2 ) Symmetric Spin Chains (2011) (8)
- Proof of chiral symmetry breaking in strongly coupled lattice gauge theory (1991) (8)
- Bond alternation in ring‐shaped molecules: The stability of the Peierls instability (1996) (8)
- Proof of chiral symmetry breaking in lattice gauge theory (1991) (8)
- The Contraction Mapping Theorem (2001) (7)
- Nonlinear phenomena in fluids, solids, and other complex systems : proceedings of the Second Latin American Workshop on Nonlinear Phenomena, Santiago, Chile, September 6-14, 1990 (1991) (7)
- Scattering of two heavy Fermi polarons: Resonances and quasibound states (2020) (7)
- Optimization of renormalization group transformations in lattice gauge theory (1988) (7)
- Eliashberg Equations Derived from the Functional Renormalization Group (2005) (7)
- A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains (2017) (6)
- Condensed Matter Physics and Exactly Soluble Models: Selecta of Elliott H. Lieb (2004) (6)
- The Overhauser model: Equilibrium fluctuation dynamics (1991) (6)
- Spectral Gaps and Incompressibility in a $${\varvec{\nu }}$$ = 1/3 Fractional Quantum Hall System (2020) (6)
- Interface states of quantum lattice models(Recent Trends in Infinite Dimensional Non-Commutative Analysis) (1998) (5)
- Quantum Spin Systems after DLS1978 (2006) (5)
- Lieb–Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in $${\mathbb {R}}^d$$ (2019) (5)
- Fermions Meet Two Bosons—the Heteronuclear Efimov Effect Revisited (2020) (4)
- Ferromagnetism and triplet superconductivity in the two-dimensional Hubbard model (2003) (4)
- Erratum: ``Proof of chiral symmetry breaking in strongly coupled lattice gauge theory'' (1992) (4)
- Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions (2009) (4)
- A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model (1999) (4)
- Dispersive toric code model with fusion and defusion (2019) (4)
- Construction of equilibrium states for one-dimensional classical lattice systems (1987) (4)
- Isolated eigenvalues of the ferromagnetic spin-J XXZ chain with kink boundary conditions (2007) (4)
- On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations (2002) (4)
- Construction and study of exact ground states for a class of quantum antiferromagnets (1989) (4)
- Singular Fermi Surfaces I. General Power Counting and Higher Dimensional Cases (2007) (4)
- Derivation of the Euler equations from many-body quantum mechanics (2002) (4)
- Ferromagnetic Ordering of Energy Levels for $${U_q(\mathfrak{sl}_2)}$$ Symmetric Spin Chains (2011) (4)
- Renormalization of the Fermi Surface (1997) (4)
- Mathematical results on many-body localization in the disordered XY spin chain (2016) (3)
- Lee-Lang measures (1994) (3)
- Quantum logic as a sum over classical logic gates (1996) (3)
- Permutations and the Determinant of a Square Matrix (2016) (3)
- Analytic results — Lattice and continuum (1993) (3)
- Introduction to Complex Numbers (2016) (3)
- Linear maps (2018) (3)
- The equilibrium state of the spin Boson model (1988) (3)
- The ground state and its entropy for a class of one-dimensional classical lattice systems (1988) (3)
- Quantum angular momentum fluctuations (1985) (3)
- The overlap distribution for a non-random frustrated Ising model (1988) (3)
- Perturbative Renormalizability of 3 by renormalization group differential equations (2003) (3)
- Transport of interface states in the Heisenberg chain (2007) (3)
- Entropy rate calculations of algebraic measures (2011) (3)
- Interface states of quantum spin systems (1998) (2)
- Bounds on the mass gap of the ferromagnetic XXZ chain (1995) (2)
- A continuum approximation for the excitations of the interface in the quantum Heisenberg model. (2000) (2)
- Path Integral Representations for the Spin-Pinned Quantum XXZ Chain (2003) (2)
- Slow Propagation in Some Disordered Quantum Spin Chains (2019) (2)
- A Lieb–Robinson bound for quantum spin chains with strong on-site impurities (2021) (2)
- Springer briefs in mathematical physics (2014) (2)
- Dimerization in Quantum Spin Chains with O(n) Symmetry (2021) (2)
- Mean field analysis of a model for superconductivity in an anti-ferromagnetic background (1996) (2)
- Low-energy effective theory at a quantum critical point of the two-dimensional Hubbard model: Mean-field analysis (2018) (2)
- Functional Integral and Stochastic Representations for Ensembles of Identical Bosons on a Lattice (2020) (2)
- Proof of chiral symmetry breaking in strongly coupled lattice gauge theory (1991) (2)
- Fermionic sign cancellations in the continuous renormalization group equation (1997) (2)
- Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday (2012) (1)
- Editorial: In honor of Oscar E. Lanford III (2017) (1)
- Quantum Hall System (2021) (1)
- Announcement: Referee acknowledgment for 2013 (2014) (1)
- Announcement: Journal of Mathematical Physics introduces two new sections: Many-Body and Condensed Matter Physics and Representation Theory and Algebraic Methods (2013) (1)
- Fermions Meet Two Bosons—the Heteronuclear Efimov Effect Revisited (2020) (1)
- A Local Wheeler-DeWitt Measure for the String Landscape (2022) (1)
- From Lieb-Robinson Bounds to Automorphic Equivalence (2022) (1)
- Linear Differential Operators and Green's Functions (2001) (1)
- Announcement: Special issue on “Integrable Quantum Systems and Solvable Statistical Mechanics Models” (2008) (1)
- The Spectral Theorem for Normal Linear Maps (2016) (1)
- Introduction to Special Issue: Journal of Mathematical Physics turns 50 (2010) (1)
- Quantum Spin Chains with Residual Entropy (1991) (1)
- Regularity of the moving Fermi surface: the exact selfenergy (1997) (1)
- Editorial: In honor of Oscar E. Lanford III (2017) (1)
- Statistical mechanics : selecta of Elliott H. Lieb (2004) (1)
- Metric and Normed Spaces (2001) (1)
- Entanglement in Finitely Correlated States (2006) (1)
- The Rigorous Renormalization Group (2006) (1)
- Renormalization group study of the Hubbard model at the van Hove singular point (2000) (1)
- Feynman graphs and renormalization in quantum diffusion (2008) (1)
- Asymptotic Ferromagnetic Ordering of Energy Levels for the Heisenberg Model on Large Boxes (2015) (1)
- Announcement: Special Issue on “Statistical Mechanics on Random Structures” (2008) (1)
- 3a-L-9 Gapless excitations above quantum ferromagnetic domain walls (1996) (0)
- Efficient Fermionic One-Loop RG for the 2D Hubbard Model at Van Hove Filling (2009) (0)
- STRUCTURES – a unifying approach to emergent phenomena in the physical world, mathematics, and complex data (2018) (0)
- Announcement: ICMP09—16th International Congress on Mathematical Physics (3–8 August 2009, Prague, Czech Republic) (2009) (0)
- Permutations and the Determinant (2007) (0)
- Persistence of Exponential Decay and Spectral Gaps for Interacting Fermions (2018) (0)
- Dynamical adjustment of propagators in Renormalization Group flows (2007) (0)
- Measure Theory and Function Spaces (2001) (0)
- On the Stability of Charges in Infinite Quantum Spin Systems (2019) (0)
- Tight-binding Rashba model and statistical field theory (2015) (0)
- On the Breakdown of Landau-Fermi Liquid Theory in the Cuprates (2001) (0)
- A Survey by the Editors (2004) (0)
- A ug 2 01 2 QUANTUM HARMONIC OSCILLATOR SYSTEMS WITH DISORDER (0)
- Lieb-Robinson bounds and the existence of infinite system dynamics (2009) (0)
- 0 40 80 20 v 3 1 5 Fe b 20 05 A Ferromagnetic Lieb-Mattis Theorem (2008) (0)
- Differential Calculus and Variational Methods (2001) (0)
- Bounds on the mass gap of theferromagnetic (1995) (0)
- Editor’s Note: Spontaneous S U 2 ( C ) symmetry breaking in the ground states of quantum spin chain [J. Math. Phys. 59, 111701 (2018)] (2018) (0)
- A ug 2 00 3 Ferromagnetic Ordering of Energy Levels (2003) (0)
- Span and Bases (2016) (0)
- Structures (2018) (0)
- Title Lieb-Robinson bounds , the spectral flow , and stability of the spectral gap for lattice fermion systems Permalink (0)
- Superconducting order in the Rashba model with attractive interaction: Functional renormalization and mean-field approach (2014) (0)
- The Fermi Surface Problem (1999) (0)
- Renormalization: Statistical Mechanics and Condensed Matter (2006) (0)
- Renormalization group study of interaction effects in Rashba-type tight-binding models (2014) (0)
- The Ground State Degeneracy of Two Quantum Spin Chains (2019) (0)
- Stability of Frustration-Free Ground States of Quantum Lattice Systems (2016) (0)
- Spectral Gap and Edge Excitations of d-Dimensional PVBS Models on Half-Spaces (2016) (0)
- MAT 067 University of California , Davis Winter 2007 Notes on Matrices and Matrix Operations (2007) (0)
- APPLICATIONS OF FINITELY CORRELATED STATES TO THE GROUND STATE PROBLEM OF QUANTUM SPIN CHAINS (1992) (0)
- Quantum Harmonic Oscillator Systems with Disorder (2012) (0)
- Discussion about the presence of a phase transition in a ferromagnetic spin lattice with the aid of statistical models (2009) (0)
- Product Vacua with Boundary States and the Classification of Gapped Phases (2014) (0)
- Announcement: Journal of Mathematical Physics introduces a new section-Quantum Information and Computation (2009) (0)
- Distributions and the Fourier Transform (2001) (0)
- Bound States and Scattering States of a Quantum Particle on Half-Infinite Lattices (0)
- Non-Equilibrium States of a Photon Cavity Pumped by an Atomic Beam (2013) (0)
- Goodbye and welcome! (2018) (0)
- Entanglement Dynamics of Disordered Quantum XY Chains (2016) (0)
- Dynamical abelian anyons with bound states and scattering states (2023) (0)
- Mathematik in Structures (2018) (0)
- A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains (2017) (0)
- A model for coexisting antiferromagnetism and superconductivity (1996) (0)
- MAT 067 University of California , Davis Winter 2007 Linear Span and Bases (2007) (0)
- Transport of one-dimensional interfaces in the Heisenberg model (2007) (0)
- MAT 067 University of California , Davis Winter 2007 Eigenvalues and Eigenvectors (2007) (0)
- fMathematik in den Naturwissenschaften Leipzig Quantum diffusion of the random Schr¨ evolution in the scaling limit I. The non-recollision diagrams. (2006) (0)
- M ar 2 01 1 Local approximation of observables and commutator bounds (2018) (0)
- Stochastic Geometric Aspects of Some Quantum Spin Chains (1994) (0)
- Stability of the superselection sectors of two-dimensional quantum lattice models (2019) (0)
- Construction and study of exact ground states of quantum spin chains (1989) (0)
- Talenti’s comparison theorem revisited (2018) (0)
- M ar 2 00 5 Ordering of Energy Levels in Heisenberg Models and Applications (2006) (0)
- The Spectrum of Bounded Linear Operators (2001) (0)
- The Fundamental Theorem of Algebra and Factoring Polynomials (2016) (0)
- Linear Algebra As An Introduction To Abstract Mathematics (2015) (0)
- On Gapped Phases with a Continuous Symmetry and Boundary Operators (2013) (0)
- Change of Bases (2016) (0)
- What is Linear Algebra (2016) (0)
- The Fundamental Theorem of Algebra (2007) (0)
- Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate (2023) (0)
- Construction of the renormalized GN2−∊ trajectory (2002) (0)
- Quantum gate arrays as coherent sums over classical logic gate arrays (1997) (0)
- Report on 1811.12109v3 (2019) (0)
- Chiral Symmetry Breaking — Rigorous Results (1992) (0)
- Slow Propagation in Some Disordered Quantum Spin Chains (2021) (0)
- Retraction: “Existence of vortices in nonlinear optics” [J. Math. Phys. 59, 101509 (2018)] (2018) (0)
- Dynamics of an electron spin in strong classical and quantized electromagnetic fields (2014) (0)
- Smoothing of singular Legendre transforms in renormalization group flows (2009) (0)
- Editorial: Journal of Mathematical Physics turns 50 (2009) (0)
- A Dynamical Toric Code model and Stability of the superselection sectors of two-dimensional quantum lattice models (2019) (0)
- UNIQUENESS AND DEGENERACY OF GROUND STATES FOR SOME QUANTUM SPIN CHAINS (1991) (0)
- Bounded Linear Operators on a Hilbert Space (2001) (0)
- Optimization of renormalization group transformations (1987) (0)
- A CONTINUOUS RENORMALIZATION GROUP ANALYSIS OF FERMIONIC QUANTUM FIELD THEORY (1998) (0)
- The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models (2017) (0)
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