archive
Every paper Pith has read. Search by title, abstract, or pith.
1657 papers in math.PR · page 8
-
Discrete fractional Poisson renewal differs from Sibuya subordination
An alternative formulation of the discrete-time fractional Poisson process
-
Mallows partition function limit is Fredholm determinant
On the partition function of a class of Mallows model
-
Optimal union probability bounds are NP-hard to find
Optimal Union Probability Interval Is NP-Hard
-
Wasserstein distance bounded by discrepancy on the unit cube
Kolmogorov-Smirnov distance and discrepancies versus Wasserstein distances
-
Quantum natural time QLE shows three phases like SLE
Quantum Loewner evolution in quantum natural time: phases and Markov properties
-
Boundary derivatives explode or decay nonlocally as p approaches 1
Explosion versus decay for boundary derivatives of $p$-harmonic functions as $p$ tends to 1: nonlocality
-
Morrey spaces allow unique Itô solutions with 1/|x| drifts
Stochastic It\^o Equations and Parabolic Second-Order Equations with singular Drift
-
Maximum-entropy median-martingale walk has arcsine stationary law
The maximum-entropy median-martingale
-
Max-entropy median walk settles at arcsine distribution
The maximum-entropy median-martingale
-
Exponential L2 moments hold for Burgers equation with rough noise
Exponential integrability of the solution to the stochastic Burgers equation driven by white noise
-
Giant d-components emerge in random simplicial complexes at critical incidence rate
Giants through higher-order paths in random simplicial complexes
-
Martingales get Gaussian bounds at n^{-1/4} rate with polylog(d) cost
Berry-Esseen bounds for multivariate martingale difference sequences in the Kolmogorov distance
-
Mean-field particle fluctuations converge uniformly to Gaussian at 1/sqrt(N) rate
Uniform-in-time quantitative fluctuations of large scale interacting particle systems
-
AI generates full math paper matching advanced undergrad work
Using Large Language Models as a Co-Author in Undergraduate Quantum Group Research
-
Neural networks converge to Gaussians with explicit Wasserstein bounds
Universality in Deep Neural Networks: An approach via the Lindeberg exchange principle
-
SYK free energy limit computed rigorously at high T
The free energy limit of the SYK model at high temperature
-
Phase transition appears in Gauss-Markov functional limits at t_mix ~ n
Before and beyond the mixing time: New approximations for additive functionals of stationary Gauss-Markov processes
-
Phase transition in Markov functional limits at mixing time n
Before and beyond the mixing time: New approximations for additive functionals of stationary Gauss-Markov processes
-
Minimal diameter of hyperbolic surfaces at most log g + 25 log log g
A sharper bound on the minimal possible diameter of a closed hyperbolic surface
-
Frankenstein ancestry yields counting dual for interactive Moran model
Genealogical structures under interactive neutral reproduction: factorial moment duality via a Frankenstein process
-
Record ages split into geometry and memory regimes
Aging Record Statistics in Saturating Self-Interacting Random Walks
-
BRW range on random trees converges to Brownian cactus
Scaling limit of the range of tree-valued branching random walks in random environmen
-
Hawkes counting process converges to stable Lévy limit
Large time behavior of critical marked Hawkes processes with heavy tailed marks and related branching particle systems
-
Scale-invariance fixes analogue ensemble volumes and dispersion
Structural and Lagrangian properties of analogue ensembles to characterize multifractality of stochastic processes
-
Superlinear permuton approximation requires measure-preserving support
On the approximation of permutons
-
Height functions decide when box tilings admit finitely dependent processes
Finitely Dependent Processes on Subshifts
-
Boundary layer sets soft-to-hard MoE limit
Soft-to-Hard Routing in Sparse Mixture-of-Experts Models
-
CDF charts turn averaging linear and recover Kolmogorov means
Probability Geometry and Kolmogorov Expectations via Coordinate Charts
-
Finite R-transform approximates standard version within O(1/N)
An analytic approach to the finite R-transform
-
Cosine matrix beats simplex for Gaussian minima moments
A revision of Litvak's conjecture on Gaussian minima and a volumetric zone conjecture
-
The paper proves that Glauber dynamics for the ferromagnetic random field Ising model on…
Glauber dynamics for random field Ising models on bounded degree graphs and MLSI
-
Reflected Brownian particles converge to nonlinear limit
High-dimensional limits for reflected Brownian motion in the orthant
-
Entropy decays at √ρ rate for underdamped Langevin
A sharp hypocoercive entropy decay estimate for underdamped Langevin dynamics
-
Entropy decays at sqrt(rho) rate for underdamped Langevin
A sharp hypocoercive entropy decay estimate for underdamped Langevin dynamics
-
Coupling bounds binomial-to-Poisson distance for any n and p
Poisson approximation by coupling
-
Tensorial free cumulants defined for all orders via group averages
Properties of tensorial free cumulants
-
Heterogeneous trade timing generates power-law tails in prices
Random trade timing and power-law tails in realized prices
-
Strict Monge maps induce unique optimal couplings for random measures
Optimal transport between laws of random probability measures and the strict Monge problem
-
Higher reproduction orders erase invasion fronts in walker models
Emergent population dynamics of random walkers with cooperative reproduction and spatial selection
-
Higher-order reproduction eliminates invasion fronts
Emergent population dynamics of random walkers with cooperative reproduction and spatial selection
-
Log centroid recovers Kramers scaling until noise boundary in excitable cells
Breakdown of Adiabatic Scaling and Noise-Induced Functional Synchronization in Deeply Quiescent Excitable Systems
-
Logarithmic method recovers adiabatic scaling in excitable systems
Breakdown of Adiabatic Scaling and Noise-Induced Functional Synchronization in Deeply Quiescent Excitable Systems
-
Response time distributions derived for priority queues with preemption overhead
Priority Scheduling in the M/G/1 with Preemption Overhead
-
Second moment of vertex degree bounded by 6 in uniform spanning trees
From second moments to pairwise negative correlation: applications to minimal and uniform spanning trees
-
CLT for sums holds along subsequences iff for full sequence in cotype-2 spaces
Some Results on the Central Limit Theorem for Subsequences in Banach Spaces
-
Discriminator lowers error in small-ensemble filters
Learning Discriminators for Resampling in the Ensemble Gaussian Mixture Filter through a Normalizing Flow Approach
-
Fixed edge on 2D random walk hull has prob ~1/sqrt(n)
Asymptotic probability of a fixed edge being on the boundary of the convex hull of a random walk in $\mathbb{Z}^2$
-
Virtual particles enable MLE for mean-field limits from one trajectory
Recursive Maximum Likelihood Estimation for Interacting Particle Systems using Virtual Particles
-
The paper models networked systems that switch regimes and carry memory of past states
Quenched Amplification and Tail Shaping in Networked Systems with Memory and Regime Switching
-
Long memory switched systems exhibit bursts despite average stability
Intermittency induced by long memory under stochastic regime switching