Papers

Last updated May 07, 2026. Papers going back ~1 year.

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

arXiv:2605.03206v1 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

Apr 03, 2026
Efficient Logistic Regression with Mixture of Sigmoids
Federico Di Gennaro, Saptarshi Chakraborty, Nikita Zhivotovskiy

arXiv:2604.02920v1 PDF cs.LG

Mar 17, 2026
Discrete RG flow of a hierarchical singular SPDE
Leonard Ferdinand, Simon Gabriel

arXiv:2603.17177v1 PDF math.PR

Mar 17, 2026
Auditing the Auditors: Does Community-based Moderation Get It Right?
Yeganeh Alimohammadi, Karissa Huang, Christian Borgs, Jennifer Chayes

arXiv:2603.18053v1 PDF cs.SI, cs.CY, econ.GN

Mar 03, 2026
Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes
Reese Pathak, Nikita Zhivotovskiy

arXiv:2603.02714v1 PDF math.PR, cs.IT, math.ST

Feb 26, 2026
Fluctuations in the weakly coupled 4D Anderson Hamiltonian
Simon Gabriel, Tommaso Rosati

arXiv:2602.22509v1 PDF math.PR, math.AP

Feb 18, 2026
Fast, High-Accuracy, Randomized Nullspace Computations for Tall Matrices
Ethan N. Epperly, Taejun Park, Yuji Nakatsukasa

arXiv:2602.16797v1 PDF math.NA

Feb 18, 2026
Ratio Covers of Convex Sets and Optimal Mixture Density Estimation
Spencer Compton, Gábor Lugosi, Jaouad Mourtada, Jian Qian, Nikita Zhivotovskiy

arXiv:2602.16142v2 PDF math.ST, cs.CG, cs.LG

Feb 17, 2026
Finite Free Information Inequalities
Jorge Garza-Vargas, Nikhil Srivastava, Zachary Stier

arXiv:2602.15822v1 PDF math.PR, math.CA, math.CO

Feb 05, 2026
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman, Peter Bürgisser, Chris Camaño, Tyler Chen, Edmond Chow, Anil Damle et al.

arXiv:2602.05394v2 PDF math.NA, cs.DS

Feb 05, 2026
First Proof
Mohammed Abouzaid, Andrew J. Blumberg, Martin Hairer, Joe Kileel, Tamara G. Kolda, Paul D. Nelson, Daniel Spielman, Nikhil Srivastava et al.

arXiv:2602.05192v2 PDF cs.AI, math.AG, math.CO

Feb 04, 2026
The matrix-vector complexity of \(Ax=b\)
Michał Dereziński, Ethan N. Epperly, Raphael A. Meyer

arXiv:2602.04842v2 PDF cs.DS, math.NA, math.OC

Jan 23, 2026
Macroscopic asymptotics in discrete beta-ensembles and random tilings
Gaëtan Borot, Vadim Gorin, Alice Guionnet

arXiv:2601.16377v2 PDF math.PR, math-ph

Jan 20, 2026
Wasserstein distances between ERGMs and Erdős-Rényi models
Vilas Winstein

arXiv:2601.14170v1 PDF math.PR, cond-mat.stat-mech, cs.DM

Jan 12, 2026
Approximate FKG inequalities for phase-bound spin systems
Satyaki Mukherjee, Vilas Winstein

arXiv:2601.07169v1 PDF math.PR, cond-mat.stat-mech, cs.DM

Dec 19, 2025
van den Berg-Kesten–type correlation inequalities for disjoint polymers in the KPZ universality class
Shirshendu Ganguly, Milind Hegde, Lingfu Zhang

arXiv:2512.17823v2 PDF math.PR, math-ph

Dec 17, 2025
Make the most of what you have: Resource-efficient randomized algorithms for matrix computations
Ethan N. Epperly

arXiv:2512.15929v1 PDF math.NA, cs.DS, stat.CO

Dec 15, 2025
Exponential Absolute Minimizing extension and biased infinity Laplacian
Yang Chu

arXiv:2512.13664v1 PDF math.AP, math.MG, math.OC

Nov 20, 2025
Early science acceleration experiments with GPT-5
Sébastien Bubeck, Christian Coester, Ronen Eldan, Timothy Gowers, Yin Tat Lee, Alexandru Lupsasca, Mehtaab Sawhney, Robert Scherrer et al.

arXiv:2511.16072v1 PDF cs.CL, cs.AI

Nov 10, 2025
Decoupling of clusters in independent sets in a percolated hypercube
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly, Vilas Winstein

arXiv:2511.07350v1 PDF math.PR, cond-mat.stat-mech, cs.DM

Oct 27, 2025
On the Martin boundary for discrete TASEP
Vadim Gorin, Sergei Korotkikh

arXiv:2510.23430v2 PDF math.PR, math-ph, math.CO

Oct 10, 2025
Travel Bans vs. Other Disease Mitigation Measures: A Mathematical Analysis
Christian Borgs, Karissa Huang, Geng Zhao

arXiv:2510.08895v2 PDF math.PR

Oct 09, 2025
From tug-of-war to Brownian Boost: explicit ODE solutions for player-funded stochastic-differential games
Alan Hammond

arXiv:2510.07682v5 PDF math.PR, econ.TH, math.CA

Oct 08, 2025
On quantum to classical comparison for Davies generators
Joao Basso, Shirshendu Ganguly, Alistair Sinclair, Nikhil Srivastava, Zachary Stier, Thuy-Duong Vuong

arXiv:2510.07267v1 PDF quant-ph, cs.DS, math-ph

Oct 02, 2025
Adaptive randomized pivoting and volume sampling
Ethan N. Epperly

arXiv:2510.02513v2 PDF stat.ML, cs.DS, cs.LG

Sep 25, 2025
Coupling Theory, Optimal Transport, and Strassen’s Theorem Beyond Regular Orders
Adam Quinn Jaffe, Daniel Raban

arXiv:2509.21616v2 PDF math.PR

Sep 08, 2025
Largevars: An R Package for Testing Large VARs for the Presence of Cointegration
Anna Bykhovskaya, Vadim Gorin, Eszter Kiss

arXiv:2509.06295v1 PDF econ.EM, stat.CO, stat.ME

Aug 28, 2025
Faster Linear Algebra Algorithms with Structured Random Matrices
Chris Camaño, Ethan N. Epperly, Raphael A. Meyer, Joel A. Tropp

arXiv:2508.21189v1 PDF cs.DS, math.NA

Aug 08, 2025
Does block size matter in randomized block Krylov low-rank approximation?
Tyler Chen, Ethan N. Epperly, Raphael A. Meyer, Christopher Musco, Akash Rao

arXiv:2508.06486v2 PDF cs.DS, math.NA

Aug 02, 2025
Advancing Science- and Evidence-based AI Policy
Rishi Bommasani, Sanjeev Arora, Jennifer Chayes, Yejin Choi, Mariano-Florentino Cuéllar, Li Fei-Fei, Daniel E. Ho, Dan Jurafsky et al.

arXiv:2508.02748v1 PDF cs.CY

Jul 29, 2025
Sharp moment and upper tail asymptotics for the critical \(2d\) Stochastic Heat Flow
Shirshendu Ganguly, Kyeongsik Nam

arXiv:2507.22029v1 PDF math.PR, math-ph

Jul 24, 2025
Global fluctuations for standard Young tableaux
Gabriel Raposo

arXiv:2507.18601v2 PDF math.PR, math-ph, math.CO

Jul 24, 2025
How weak are weak factors? Uniform inference for signal strength in signal plus noise models
Anna Bykhovskaya, Vadim Gorin, Sasha Sodin

arXiv:2507.18554v2 PDF stat.ME, econ.EM, math.PR

Jul 18, 2025
Modulated Poisson-Dirichlet diffusions arising from inclusion processes with a slow phase
Simon Gabriel

arXiv:2507.13799v1 PDF math.PR, cond-mat.stat-mech

Jul 14, 2025
Quantitative central limit theorems for exponential random graphs
Vilas Winstein

arXiv:2507.10531v2 PDF math.PR, cond-mat.stat-mech, cs.DM

Jul 14, 2025
Spectral properties of the zero temperature Edwards-Anderson model
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly

arXiv:2507.10507v1 PDF math.PR, cond-mat.dis-nn, math-ph

Jul 08, 2025
Consistency and Inconsistency in \(K\)-Means Clustering
Moïse Blanchard, Adam Quinn Jaffe, Nikita Zhivotovskiy

arXiv:2507.06226v1 PDF math.ST, math.PR, stat.ML

Jun 26, 2025
Detecting weighted hidden cliques
Urmisha Chatterjee, Karissa Huang, Ritabrata Karmakar, B. R. Vinay Kumar, Gábor Lugosi, Nandan Malhotra, Anirban Mandal, Maruf Alam Tarafdar

arXiv:2506.21543v1 PDF math.ST, cs.IT, math.PR

Jun 17, 2025
The California Report on Frontier AI Policy
Rishi Bommasani, Scott R. Singer, Ruth E. Appel, Sarah Cen, A. Feder Cooper, Elena Cryst, Lindsey A. Gailmard, Ian Klaus et al.

arXiv:2506.17303v1 PDF cs.CY

Jun 02, 2025
Branch lengths for geodesics in the directed landscape and mutation patterns in growing spatially structured populations
Shirshendu Ganguly, Jason Schweinsberg, Yubo Shuai

arXiv:2506.01787v2 PDF math.PR, q-bio.PE

May 12, 2025
Laws of Large Numbers for Information Resolution
Daniel Raban

arXiv:2505.07958v1 PDF math.PR, math.ST