Stable size extrapolation in local score models requires the receptive field to cover the quasi-locality range of the Gaussian-smoothed score, formalized via a size-uniform comparison theorem and validated on the new FDLF benchmark.
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Onsager ,\ title title Crystal Statistics
12 Pith papers cite this work, alongside 6,489 external citations. Polarity classification is still indexing.
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cond-mat.stat-mech 2 cs.LG 2 quant-ph 2 cond-mat.dis-nn 1 cond-mat.mtrl-sci 1 cond-mat.other 1 hep-ph 1 hep-th 1 math-ph 1roles
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k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
Exact mapping of Ising-Heisenberg model on extended Lieb lattice to square-lattice Ising model identifies continuous and discontinuous thermal phase transitions confirmed by simulations.
Derives path-product expansion for free-fermion modes and local conserved charges in generalized free-fermion models from Krylov basis generating function.
Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.
PDNS decomposes diffusion neural sampler training into proximal subproblems on path measures to gradually approach multimodal targets and promote mode exploration.
DFT plus Monte Carlo simulations predict itinerant ferromagnetism with Tc exceeding 160 K in p-doped MoS2 monolayers at 9% V concentration.
Optimizations for Mayer cluster integral calculations produce new high-order data for several 2D and 3D lattice models.
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
Lecture notes that treat statistical physics as probability theory and connect Ising models, spin glasses, and renormalization group ideas to Hopfield networks, restricted Boltzmann machines, and large language models.
citing papers explorer
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When Do Local Score Models Extrapolate Across Size? A Diagnostic Theory and Benchmark
Stable size extrapolation in local score models requires the receptive field to cover the quasi-locality range of the Gaussian-smoothed score, formalized via a size-uniform comparison theorem and validated on the new FDLF benchmark.
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Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
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Continuous and discontinuous transitions in the Ising-Heisenberg model on the extended Lieb lattice in a magnetic field
Exact mapping of Ising-Heisenberg model on extended Lieb lattice to square-lattice Ising model identifies continuous and discontinuous thermal phase transitions confirmed by simulations.
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Solving models with generalized free fermions II: Path-product expansion and conserved charges
Derives path-product expansion for free-fermion modes and local conserved charges in generalized free-fermion models from Krylov basis generating function.
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Non-equilibrium scaling across first-order transitions with relativistic scalar fields
Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.
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Proximal Diffusion Neural Sampler
PDNS decomposes diffusion neural sampler training into proximal subproblems on path measures to gradually approach multimodal targets and promote mode exploration.
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Itinerant Ferromagnetism in p-doped Monolayers of MoS2
DFT plus Monte Carlo simulations predict itinerant ferromagnetism with Tc exceeding 160 K in p-doped MoS2 monolayers at 9% V concentration.
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Enhanced approach to calculation of cluster integrals for lattice models of matter
Optimizations for Mayer cluster integral calculations produce new high-order data for several 2D and 3D lattice models.
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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
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Lecture Notes on Statistical Physics and Neural Networks
Lecture notes that treat statistical physics as probability theory and connect Ising models, spin glasses, and renormalization group ideas to Hopfield networks, restricted Boltzmann machines, and large language models.
- Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model
- The Yang-Baxter Equation for the Chiral Potts Model and Integrable Parafermions