OpenAI Math·Subject
Probability and statistical mechanics
29 of the 372 results in OpenAI's maths catalogue are in probability and statistical mechanics. Each page quotes OpenAI's own summary, links the preprints and embeds the animation once it is released. 4 of them have a video so far.
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Videos in Probability and statistical mechanics
All 29 results
- 211The geometric phase diagram, diffusion, and spectra of random planar mapsLean
- 212Planar first-passage geometry and the absence of bigeodesicsLean
- 213Critical percolation on every quasi-transitive graphVideoLean
- 214The Benjamini–Schramm nonuniqueness conjectureLean
- 215Canonical O(3) continuum limit and exact O(4) mass asymptoticsLean
- 216Critical and near-critical XY scaling and BKT universality
- 217The low-temperature Sherrington–Kirkpatrick fluctuation law
- 218Conformal universality for weakly interacting and random-bond Ising modelsLean
- 219GOE bulk universality for regular graphs with weak Anderson disorder
- 220Directional zero–one laws beyond iid environments and iid ballisticityLean
- 221The Mézard–Parisi formula for diluted spin glassesLean
- 222Perceptron free energies and microscopic jamming exponentsLean
- 223Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
- 224Critical and quenched near-critical universality for Poisson–Voronoi percolation
- 225Gaussian free field limits throughout the balanced six-vertex regime
- 226The double-dimer loop ensemble converges to CLE4Video
- 227Critical SK autocorrelation processes and dynamics across the temperature transitionLean
- 228Continuum phase transitions for radial pair potentialsLean
- 229Exact three- and four-state reconstruction thresholds and four-state tree capacityLean
- 230Exact Hausdorff gauges for SLEVideoLean
- 231The free uniform spanning forest is a factor of IIDLean
- 232Gaussian fields and interfaces for triangular-lattice Lipschitz heights
- 233The joint critical Ashkin–Teller current limit
- 234All-temperature pressure of orthogonally invariant Ising spin glassesLean
- 235Limiting random SAT thresholds, sharp variance and computabilityLean
- 236The exact factor-of-IID threshold for free Ising spins on treesLean
- 237The three-quarter exponent for honeycomb self-avoiding walkVideoLean
- 238Optimal logarithmic mixing of the Thorp shuffleLean
- 239Sharp singularity rates for symmetric random sign matrices
Other subjects
- Theoretical computer science 40
- Combinatorics 37
- Algebraic and complex geometry 36
- Number theory 31
- Differential geometry 29
- Mathematical physics 25
- Operator algebras 19
- Algebra 18
- Topology 18
- Partial differential equations 16
- Real and complex analysis 16
- Convex and metric geometry 15
- Group theory 14
- Dynamical systems and ergodic theory 12
- Functional analysis 11
- Mathematical logic 6