Probability Papers

Persistence of asymptotic variance under transport: from hyperfluctuation to stealthy hyperuniformity Luca Lotz, Michael A. Klatt arxiv.org/abs/2605.22803 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚍𝚒𝚜-𝚗𝚗 𝚌𝚘𝚗𝚍-𝚖𝚊𝚝.𝚜𝚘𝚏𝚝]

Invariant measures for half-space geometric LPP: classification and the one force–one solution principle Sayan Das, Evan Sorensen, Zongrui Yang arxiv.org/abs/2605.22787 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Extremes of Gaussian fields with a product term in the variance Svyatoslav Novikov arxiv.org/abs/2605.22760 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Generalized specific entropy on Wiener space with application to Martingale Optimal Transport Francois Buet-Golfouse, Anaïs Després, Zhenjie Ren, Xin Zhang arxiv.org/abs/2605.22445 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚖𝚊𝚝𝚑.𝙾𝙲]

Poisson approximation of the largest gaps between zeros of a stationary Gaussian process Renjie Feng, Stephen Muirhead arxiv.org/abs/2605.22146 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Return Probability for the Switch–Walk–Switch Lamplighter Walk on a Regular Tree Chenyang An, Minghao Pan arxiv.org/abs/2605.21744 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Markov Renewal Theory for Transfer Operators and Point Processes on the Line Yoon Jun Chan, Markus Heydenreich, Sabine Jansen arxiv.org/abs/2605.21638 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚖𝚊𝚝𝚑-𝚙𝚑]

Network evolution with self-reinforcement Shankar Bhamidi, Remco van der Hofstad, Frank den Hollander, Rounak Ray arxiv.org/abs/2605.21459 [𝚖𝚊𝚝𝚑.𝙿𝚁]

A random walk approach to high-dimensional critical phenomena Hugo Duminil-Copin, Aman Markar, Romain Panis, Gordon Slade arxiv.org/abs/2605.21438 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚖𝚊𝚝𝚑-𝚙𝚑]

A dice game, a multinomial walk, and the inverted Dirichlet distribution Gunther Leobacher, Alexander Steinicke arxiv.org/abs/2605.21424 [𝚖𝚊𝚝𝚑.𝙿𝚁]

The Martin boundary of the Directed Landscape Firas Rassoul-Agha, Mikhail Sweeney arxiv.org/abs/2605.21366 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚖𝚊𝚝𝚑.𝙳𝚂 𝚖𝚊𝚝𝚑.𝙼𝙶]

The non-Hermitian minor process Giorgio Cipolloni, László Erdős, Oleksii Kolupaiev arxiv.org/abs/2605.21265 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Sensitivity analysis of Stochastic Fluid Models: Stationary and transient quantities with applications Anna Aksamit, Małgorzata M. O'Reilly, Zbigniew Palmowski arxiv.org/abs/2605.21209 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Asymptotic Probabilities of Attaining the Maximum in Heterogeneous Gaussian Samples Chunxu Zhang, Baiqi Miao, Tiantian Mao arxiv.org/abs/2605.21155 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Integration by Parts Formulas of Mckean-Vlasov SDEs with Jumps and Some Applications Yao Chen, Jiagang Ren, Hua Zhang arxiv.org/abs/2605.21038 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Double-transform Tauberian method for precise large deviations Giampaolo Cristadoro, Gaia Pozzoli arxiv.org/abs/2605.21005 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚖𝚊𝚝𝚑-𝚙𝚑]

Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise Shubhada Agrawal, Siva Theja Maguluri, Martin Zubeldia arxiv.org/abs/2605.20999 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚌𝚜.𝙻𝙶 𝚖𝚊𝚝𝚑.𝙾𝙲 𝚜𝚝𝚊𝚝.𝙼𝙻]

On the maximal displacement of subcritical branching random walk in random environment Fu Wenxin, Hong Wenming arxiv.org/abs/2605.20800 [𝚖𝚊𝚝𝚑.𝙿𝚁]

Quantitative exponential mixing for the randomized Chirikov standard map Ziyu Liu, Yankai Shi arxiv.org/abs/2605.20702 [𝚖𝚊𝚝𝚑.𝙿𝚁 𝚖𝚊𝚝𝚑.𝙳𝚂]

The maximum of a strongly correlated Gaussian process Jason Li, Stephen Muirhead arxiv.org/abs/2605.20700 [𝚖𝚊𝚝𝚑.𝙿𝚁]