Last updated October 15, 2026. Papers from the last 6 months. See more here.

Oct 12, 2026
(Sharp arithmetic) localization beyond transversality
Svetlana Jitomirskaya, Netanel Levi, Tom Stoiber

arXiv:2610.17139v1 PDF math.SP, math-ph, math.DS

Oct 08, 2026
Directed fractal percolation and non-Lipschitz variants
Shirshendu Ganguly, Victor Ginsburg, Kaihao Jing

arXiv:2610.12366v1 PDF math.PR, math-ph, math.CA

Sep 17, 2026
Interpolation of Gaussian Free Fields via Random Matrices
Gabriel Raposo

arXiv:2609.20707v1 PDF math.PR, math-ph

Sep 17, 2026
Principal component error in high-dimensional factor models
Alex Bernstein, Lisa R. Goldberg, Nicholas Gunther, Alec N. Kercheval, Tian Lan, Yian Lin, Dayi Yao

arXiv:2609.20550v1 PDF math.ST, q-fin.PM, q-fin.ST

Sep 15, 2026
Renormalizing small ball events for branching random walk
Vilas Winstein

arXiv:2609.17520v1 PDF math.PR, cond-mat.stat-mech, math-ph

Sep 14, 2026
Sharp decay thresholds for eigenvalues of discrete Schrödinger operators on \(\mathbb{Z}^2\)
Shirshendu Ganguly, Wencai Liu

arXiv:2609.15908v2 PDF math-ph, math.SP

Sep 14, 2026
The Robust Ten Martini Problem
Lingrui Ge, Svetlana Jitomirskaya, Jiangong You

arXiv:2609.15812v1 PDF math-ph, math.DS, math.SP

Sep 13, 2026
A law of large numbers for Macdonald coherent measures
Vadim Gorin

arXiv:2609.14217v1 PDF math.PR, math.CO, math.RT

Sep 10, 2026
Circular Rearrangement Inequality and Optimal Cyclic Birth and Death Chains
Gabriel Raposo

arXiv:2609.11774v1 PDF math.CO, math.PR

Aug 30, 2026
Equilibrium fluctuations of the weakly asymmetric inclusion process
Simon Gabriel

arXiv:2608.29957v1 PDF math.PR, cond-mat.stat-mech

Aug 21, 2026
A new analysis of the randomly pivoted Cholesky algorithm
Ethan N. W. Epperly

arXiv:2608.20633v1 PDF math.NA, cs.DS, stat.CO

Aug 12, 2026
Fast Length-Squared Sampling for Positive-Semidefinite Matrices
Rajarshi Bhattacharjee, Ethan N. Epperly, Cameron Musco, Aaron Tian

arXiv:2608.12503v1 PDF cs.DS, cs.LG

Aug 12, 2026
Logarithmic intermittency of the critical 2D SHF
Shirshendu Ganguly, Kyeongsik Nam

arXiv:2608.12270v1 PDF math.PR, math-ph

Aug 06, 2026
An Optimal Agnostic PAC Algorithm
Markus Engelund Mathiasen, Jian Qian, Nikita Zhivotovskiy

arXiv:2608.06363v1 PDF cs.LG, cs.AI, cs.DS

Aug 05, 2026
Correlation decay in area-tilted line ensembles
Shirshendu Ganguly, Vilas Winstein

arXiv:2608.05089v1 PDF math.PR, math-ph

Aug 03, 2026
Beyond Modern Asymptotics for Log-Likelihood Ratios in Logistic Regression
Hugo Chardon, Reese Pathak, Nikita Zhivotovskiy

arXiv:2608.02507v1 PDF math.ST, cs.IT, cs.LG

Jul 31, 2026
Nonlinear Exchange Dynamics for Independent Sets
Mehrad Abbaszadeh Minab, Pietro Caputo, Zongchen Chen, Mario Morellini, Alistair Sinclair

arXiv:2607.29016v1 PDF cs.DS, math.PR

Jul 25, 2026
Mixing times and spectra of non-equilibrium symmetric exclusion processes on general graphs
Leonard J. Schulman, Alistair Sinclair

arXiv:2607.22991v1 PDF math.PR, cond-mat.stat-mech

Jul 23, 2026
Self-Balancing Sequential Sampling: Fast Convergence with Controlled Predictability
Zachary McNulty, Daniel Raban

arXiv:2607.20818v2 PDF math.PR, stat.ME, stat.ML

Jul 20, 2026
Temperature chaos in directed polymers
Shirshendu Ganguly, Victor Ginsburg, Zoe Himwich

arXiv:2607.18194v1 PDF math.PR, math-ph

Jun 30, 2026
Capacity and measure approximations for Schrödinger operators
Burak Hatinoğlu, Svetlana Jitomirskaya

arXiv:2606.31051v1 PDF math.SP, math-ph, math.DS

Jun 26, 2026
A Sharp Kato-Rosenblum Type Theorem for Unbounded n-Tuples
Rishabh Bhutani, Dan Virgil Voiculescu

arXiv:2606.28594v2 PDF math.FA, math.SP

Jun 16, 2026
First Proof Second Batch
Mohammed Abouzaid, Nikhil Srivastava, Rachel Ward, Lauren Williams

arXiv:2606.18119v1 PDF cs.AI

Jun 13, 2026
Linear algebra at exponential scale via tensor network dimension reduction
Chris Camaño, Ethan N. Epperly, Raphael A. Meyer, Joel A. Tropp

arXiv:2606.15350v1 PDF math.NA, cond-mat.str-el, cs.DS

Jun 11, 2026
Majority-of-Three is Optimal
Divit Rawal, Nikita Zhivotovskiy

arXiv:2606.13614v1 PDF stat.ML, cs.LG, math.ST

Jun 02, 2026
A remark on the majorizing measures theorem for general processes
Reese Pathak, Nikita Zhivotovskiy

arXiv:2606.03973v2 PDF math.PR, cs.IT, math.ST

May 27, 2026
Weak universality for stochastic reaction-diffusion models with long-range correlated noise
Simon Gabriel, Markus Tempelmayr

arXiv:2605.28677v1 PDF math.PR, math.AP

May 18, 2026
Sharp analysis of sketched least squares and randomized low-rank approximation
Ethan N. Epperly, Robert J. Webber

arXiv:2605.19096v2 PDF math.NA, stat.CO

May 16, 2026
Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement
Michał Dereziński, Ethan N. Epperly, Deanna Needell, Alexander Xue

arXiv:2605.17185v1 PDF math.NA

May 04, 2026
The maximum-entropy median-martingale
Rikhav Shah, Vilas Winstein

arXiv:2605.03206v3 PDF math.PR

May 02, 2026
Self-Normalized Martingales and Uniform Regret Bounds for Linear Regression
Fan Chen, Jian Qian, Alexander Rakhlin, Nikita Zhivotovskiy

arXiv:2605.01628v1 PDF stat.ML, cs.LG, math.ST

Apr 30, 2026
Rising GUE Eigenvalue Process from a Fixed Level
Zoe Himwich

arXiv:2604.27619v1 PDF math.PR

Apr 30, 2026
A Levered ETF Anomaly Explained
Stephen W. Bianchi, Lisa R. Goldberg

arXiv:2604.27287v1 PDF q-fin.PM