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Intermediate Chaos

Publications

Division subspaces and integrable kernels

Author(s): Bufetov, Alexander I.; Romanov, Roman V.
Published in: https://arxiv.org/abs/1707.03463, Issue 1, 2017, Page(s) 11 pages

A spectral cocycle for substitution systems and translation flows

Author(s): Bufetov, Alexander I.; Solomyak, Boris
Published in: arXiv:1802.04783, Issue 1, 2018, Page(s) 11 pages

A structure theorem for level sets of multiplicative functions and applications

Author(s): Bergelson, Vitaly; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Richter, Florian K.
Published in: https://arxiv.org/abs/1708.02613, Issue 1, 2017, Page(s) 32 pages

Sarnak's Conjecture -- what's new

Author(s): Ferenczi, S.; Kułaga-Przymus, J.; Lemańczyk, M.
Published in: https://arxiv.org/abs/1710.04039, Issue 1, 2017, Page(s) 65 pages

Invariant measures for the actions of the modular group

Author(s): Fan, Shilei; Qiu, Yanqi
Published in: https://arxiv.org/abs/1703.03086, Issue 1, 2017, Page(s) 5 pages

Rational map ax+1/x on the projective line over $\mathbb{Q}_2$

Author(s): Fan, Shilei; Liao, Lingmin
Published in: https://arxiv.org/abs/1612.01881, Issue 1, 2016, Page(s) 13 pages

The Hyperbolic-type Point Process

Author(s): Nizar Demni, Pierre Lazag
Published in: arXiv:1712.04824, 2018, Page(s) 12 pages

Patterson-Sullivan measures for point processes and the reconstruction of harmonic functions

Author(s): Bufetov, Alexander I.; Qiu, Yanqi
Published in: http://arxiv.org/abs/1806.02306, 2018, Page(s) 57

Convergence of spherical averages for actions of Fuchsian Groups

Author(s): Bufetov, Alexander I.; Klimenko, Alexey; Series, Caroline
Published in: http://arxiv.org/abs/1805.11743, 2018, Page(s) 56

Conditional measures of determinantal point processes

Author(s): Bufetov, Alexander I.
Published in: arXiv:1605.01400, Issue 1, 2016

Kernels of conditional determinantal measures

Author(s): Bufetov, Alexander,; Qiu, Yanqi; Shamov, Alexander
Published in: https://hal.archives-ouvertes.fr/hal-01483603, Issue 1, 2016

On ergodic averages for parabolic product flows (Version 3)

Author(s): Alexander I. Bufetov, Boris Solomyak
Published in: arXiv:1612.09142, 2017, Page(s) 14

The logarithmic derivative for point processes with equivalent Palm measures

Author(s): Bufetov, Alexander I.; Dymov, Andrey V.; Osada, Hirofumi
Published in: Journal Mathematical Society of Japan, Issue 1, 2018, Page(s) 18 pages, ISSN 0025-5645

The Hoelder Property for the Spectrum of Translation Flows in Genus Two

Author(s): Bufetov, Alexander I.; Solomyak, Boris
Published in: Israel Journal of Mathematics, Issue 1, 2018, Page(s) 46 pages, ISSN 0021-2172
DOI: 10.1007/s11856-017-1614-8

J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence

Author(s): Alexander I. Bufetov, Yanqi Qiu
Published in: Mathematische Annalen, Issue 371/1-2, 2018, Page(s) 127-188, ISSN 0025-5831
DOI: 10.1007/s00208-017-1627-y

A palm hierarchy for determinantal point processes with the Bessel kernel

Author(s): Alexander I. Bufetov
Published in: Proceedings of the Steklov Institute of Mathematics, Issue 297/1, 2017, Page(s) 90-97, ISSN 0081-5438
DOI: 10.1134/s0081543817040058

Quasi-symmetries of determinantal point processes

Author(s): Alexander I. Bufetov
Published in: The Annals of Probability, Issue 46/2, 2018, Page(s) 956-1003, ISSN 0091-1798
DOI: 10.1214/17-AOP1198

Division subspaces and integrable kernels

Author(s): Alexander I. Bufetov, Roman V. Romanov
Published in: Bulletin of the London Mathematical Society, 2018, Page(s) 11, ISSN 0024-6093
DOI: 10.1112/blms.12223

Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields

Author(s): Alexander I. Bufetov, Yanqi Qiu
Published in: Compositio Mathematica, Issue 153/12, 2017, Page(s) 2482-2533, ISSN 0010-437X
DOI: 10.1112/S0010437X17007412

Equivalence of Palm measures for determinantal point processes governed by Bergman kernels

Author(s): Alexander I. Bufetov, Shilei Fan, Yanqi Qiu
Published in: Probability Theory and Related Fields, 2018, ISSN 0178-8051
DOI: 10.1007/s00440-017-0803-z

Conditional measures of generalized Ginibre point processes

Author(s): Alexander I. Bufetov, Yanqi Qiu
Published in: Journal of Functional Analysis, Issue 272/11, 2017, Page(s) 4671-4708, ISSN 0022-1236
DOI: 10.1016/j.jfa.2017.03.004

Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. II. Convergence of infinite determinantal measures

Author(s): A I Bufetov
Published in: Izvestiya: Mathematics, Issue 80/2, 2016, Page(s) 299-315, ISSN 1064-5632
DOI: 10.1070/IM8384

Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces

Author(s): Alexander Igorevich Bufetov, Tomoyuki Shirai
Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences, Issue 93/1, 2017, Page(s) 1-5, ISSN 0386-2194
DOI: 10.3792/pjaa.93.1

Determinantal Point Processes Associated with Hilbert Spaces of Holomorphic Functions

Author(s): Alexander I. Bufetov, Yanqi Qiu
Published in: Communications in Mathematical Physics, Issue 351/1, 2017, Page(s) 1-44, ISSN 0010-3616
DOI: 10.1007/s00220-017-2840-y

A Functional Limit Theorem for the Sine-Process

Author(s): Alexander I Bufetov, Andrey V Dymov
Published in: International Mathematics Research Notices, 2018, ISSN 1073-7928
DOI: 10.1093/imrn/rny104