Baz, Juan; Alonso, Pedro; Peña, Juan Manuel; Pérez-Fernández, Raúl Gaussian Markov random fields over graphs of paths and high relative accuracy. (English) Zbl 07900345 J. Comput. Appl. Math. 453, Article ID 116142, 12 p. (2025). MSC: 60G60 PDFBibTeX XMLCite \textit{J. Baz} et al., J. Comput. Appl. Math. 453, Article ID 116142, 12 p. (2025; Zbl 07900345) Full Text: DOI
Di Bernardino, Elena; Estrade, Anne; Opitz, Thomas Spatial extremes and stochastic geometry for Gaussian-based peaks-over-threshold processes. (English) Zbl 07909812 Extremes 27, No. 3, 397-435 (2024). MSC: 62H11 60G60 62M40 60G70 PDFBibTeX XMLCite \textit{E. Di Bernardino} et al., Extremes 27, No. 3, 397--435 (2024; Zbl 07909812) Full Text: DOI
Koch, Erwan Correlation of powers of Hüsler-Reiss vectors and Brown-Resnick fields, and application to insured wind losses. (English) Zbl 07909810 Extremes 27, No. 3, 315-356 (2024). MSC: 60G60 60G70 62H10 62H11 62H20 62P05 62P12 PDFBibTeX XMLCite \textit{E. Koch}, Extremes 27, No. 3, 315--356 (2024; Zbl 07909810) Full Text: DOI arXiv OA License
Cleanthous, Galatia On the properties of multivariate isotropic random fields on the ball. (English) Zbl 07909285 Theory Stoch. Process. 28, No. 1, 1-25 (2024). MSC: 60G60 62G05 43A75 42B35 PDFBibTeX XMLCite \textit{G. Cleanthous}, Theory Stoch. Process. 28, No. 1, 1--25 (2024; Zbl 07909285) Full Text: DOI
Holden, Nina; Lehmkuehler, Matthis Liouville quantum gravity weighted by conformal loop ensemble nesting statistics. (English) Zbl 07906400 Probab. Math. Phys. 5, No. 4, 847-960 (2024). MSC: 60J67 60G57 60J80 60K37 81T40 05C80 60G60 60K35 PDFBibTeX XMLCite \textit{N. Holden} and \textit{M. Lehmkuehler}, Probab. Math. Phys. 5, No. 4, 847--960 (2024; Zbl 07906400) Full Text: DOI arXiv
Song, Zhanjie; Zhang, Jiaxing Estimation of average differential entropy for a stationary ergodic space-time random field on a bounded area. (English) Zbl 07906356 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 5, 1984-1996 (2024). MSC: 94A17 60G60 PDFBibTeX XMLCite \textit{Z. Song} and \textit{J. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 5, 1984--1996 (2024; Zbl 07906356) Full Text: DOI
Giraudo, Davide Deviation inequality for Banach-valued orthomartingales. (English) Zbl 07904802 Stochastic Processes Appl. 175, Article ID 104391, 20 p. (2024). MSC: 60G42 60E15 60G60 60F15 PDFBibTeX XMLCite \textit{D. Giraudo}, Stochastic Processes Appl. 175, Article ID 104391, 20 p. (2024; Zbl 07904802) Full Text: DOI arXiv
Yuan, Weijie; Chen, Zhenlong Hausdorff measure and uniform dimension for space-time anisotropic Gaussian random fields. (English) Zbl 07900850 J. Theor. Probab. 37, No. 3, 2304-2329 (2024). MSC: 60G15 60G17 60G60 PDFBibTeX XMLCite \textit{W. Yuan} and \textit{Z. Chen}, J. Theor. Probab. 37, No. 3, 2304--2329 (2024; Zbl 07900850) Full Text: DOI
Popivoda, Goran; Stamatović, Siniša Sojourn times of Gaussian processes with random parameters. (English) Zbl 07900840 J. Theor. Probab. 37, No. 3, 2023-2053 (2024). MSC: 60G15 60G60 PDFBibTeX XMLCite \textit{G. Popivoda} and \textit{S. Stamatović}, J. Theor. Probab. 37, No. 3, 2023--2053 (2024; Zbl 07900840) Full Text: DOI
Cotsakis, Ryan; Di Bernardino, Elena; Duval, Céline Surface area and volume of excursion sets observed on point cloud based polytopic tessellations. (English) Zbl 07900405 Ann. Appl. Probab. 34, No. 3, 3093-3124 (2024). MSC: 62R30 62M40 60G60 62H11 PDFBibTeX XMLCite \textit{R. Cotsakis} et al., Ann. Appl. Probab. 34, No. 3, 3093--3124 (2024; Zbl 07900405) Full Text: DOI arXiv Link
Drewitz, Alexander; Gallo, Gioele; Prévost, Alexis Generating Galton-Watson trees using random walks and percolation for the Gaussian free field. (English) Zbl 07900400 Ann. Appl. Probab. 34, No. 3, 2844-2884 (2024). MSC: 60K35 60G15 60G60 82B43 PDFBibTeX XMLCite \textit{A. Drewitz} et al., Ann. Appl. Probab. 34, No. 3, 2844--2884 (2024; Zbl 07900400) Full Text: DOI arXiv Link
Pfeffer, Joshua Weak Liouville quantum gravity metrics with matter central charge \(c \in (- \infty, 25)\). (English) Zbl 07898592 Probab. Math. Phys. 5, No. 3, 545-608 (2024). MSC: 60D05 60G60 PDFBibTeX XMLCite \textit{J. Pfeffer}, Probab. Math. Phys. 5, No. 3, 545--608 (2024; Zbl 07898592) Full Text: DOI arXiv
Piterbarg, V. I. High excursion probabilities for Gaussian fields on smooth manifolds. (English. Russian original) Zbl 07898582 Theory Probab. Appl. 69, No. 2, 294-312 (2024); translation from Teor. Veroyatn. Primen. 69, No. 1, 369-392 (2024). MSC: 60G15 60G60 60G70 PDFBibTeX XMLCite \textit{V. I. Piterbarg}, Theory Probab. Appl. 69, No. 2, 294--312 (2024; Zbl 07898582); translation from Teor. Veroyatn. Primen. 69, No. 1, 369--392 (2024) Full Text: DOI arXiv
Lu, Tianshi Isotropic random tangential vector fields on spheres. (English) Zbl 07898556 Stat. Probab. Lett. 213, Article ID 110172, 8 p. (2024). MSC: 60G60 62M40 62M30 PDFBibTeX XMLCite \textit{T. Lu}, Stat. Probab. Lett. 213, Article ID 110172, 8 p. (2024; Zbl 07898556) Full Text: DOI
Zheng, Shengchao; Tan, Zhongquan On the maxima of non stationary random fields subject to missing observations. (English) Zbl 07897856 Commun. Stat., Theory Methods 53, No. 18, 6339-6361 (2024). MSC: 60G70 60G60 PDFBibTeX XMLCite \textit{S. Zheng} and \textit{Z. Tan}, Commun. Stat., Theory Methods 53, No. 18, 6339--6361 (2024; Zbl 07897856) Full Text: DOI arXiv
Ernst, Oliver G.; Sprungk, Björn; Zhang, Chao Uncertainty modeling and propagation for groundwater flow: a comparative study of surrogates. (English) Zbl 07896987 GEM. Int. J. Geomath. 15, Paper No. 11, 41 p. (2024). MSC: 62M30 60G60 60H35 62P12 65C05 PDFBibTeX XMLCite \textit{O. G. Ernst} et al., GEM. Int. J. Geomath. 15, Paper No. 11, 41 p. (2024; Zbl 07896987) Full Text: DOI OA License
Surgailis, Donatas Scaling limits of nonlinear functions of random grain model, with application to Burgers’ equation. (English) Zbl 07879398 Stochastic Processes Appl. 174, Article ID 104390, 12 p. (2024). MSC: 60G60 60F17 PDFBibTeX XMLCite \textit{D. Surgailis}, Stochastic Processes Appl. 174, Article ID 104390, 12 p. (2024; Zbl 07879398) Full Text: DOI arXiv
Cheng, Dan Smooth Matérn Gaussian random fields: Euler characteristic, expected number and height distribution of critical points. (English) Zbl 07878528 Stat. Probab. Lett. 210, Article ID 110116, 6 p. (2024). MSC: 60G15 60G60 62G32 15B52 PDFBibTeX XMLCite \textit{D. Cheng}, Stat. Probab. Lett. 210, Article ID 110116, 6 p. (2024; Zbl 07878528) Full Text: DOI arXiv
Balasubramanian, Krishnakumar; Goldstein, Larry; Ross, Nathan; Salim, Adil Gaussian random field approximation via Stein’s method with applications to wide random neural networks. (English) Zbl 07876379 Appl. Comput. Harmon. Anal. 72, Article ID 101668, 27 p. (2024). MSC: 60G60 60F05 68T07 PDFBibTeX XMLCite \textit{K. Balasubramanian} et al., Appl. Comput. Harmon. Anal. 72, Article ID 101668, 27 p. (2024; Zbl 07876379) Full Text: DOI arXiv
Amini, Arash; Fageot, Julien; Unser, Michael Complex-order scale-invariant operators and self-similar processes. (English) Zbl 07876375 Appl. Comput. Harmon. Anal. 72, Article ID 101656, 28 p. (2024). MSC: 60G18 60G15 42C40 60G60 PDFBibTeX XMLCite \textit{A. Amini} et al., Appl. Comput. Harmon. Anal. 72, Article ID 101656, 28 p. (2024; Zbl 07876375) Full Text: DOI arXiv
Alodat, Tareq; Le Gia, Quoc T.; Sloan, Ian H. On approximation for time-fractional stochastic diffusion equations on the unit sphere. (English) Zbl 07876177 J. Comput. Appl. Math. 446, Article ID 115863, 33 p. (2024). MSC: 60H15 60G60 35R60 35R11 PDFBibTeX XMLCite \textit{T. Alodat} et al., J. Comput. Appl. Math. 446, Article ID 115863, 33 p. (2024; Zbl 07876177) Full Text: DOI arXiv
Subag, Eliran Free energy landscapes in spherical spin glasses. (English) Zbl 07875267 Duke Math. J. 173, No. 7, 1291-1357 (2024). MSC: 60K35 60G60 82D30 PDFBibTeX XMLCite \textit{E. Subag}, Duke Math. J. 173, No. 7, 1291--1357 (2024; Zbl 07875267) Full Text: DOI arXiv
Blanchard, Gilles; Carpentier, Alexandra; Zadorozhnyi, Oleksandr Moment inequalities for sums of weakly dependent random fields. (English) Zbl 07874429 Bernoulli 30, No. 3, 2501-2520 (2024). MSC: 60E15 60G60 PDFBibTeX XMLCite \textit{G. Blanchard} et al., Bernoulli 30, No. 3, 2501--2520 (2024; Zbl 07874429) Full Text: DOI arXiv Link
Caponera, Alessia Asymptotics for isotropic Hilbert-valued spherical random fields. (English) Zbl 07874398 Bernoulli 30, No. 3, 1723-1745 (2024). MSC: 60G60 60F05 62M15 PDFBibTeX XMLCite \textit{A. Caponera}, Bernoulli 30, No. 3, 1723--1745 (2024; Zbl 07874398) Full Text: DOI arXiv Link
Muirhead, Stephen; Severo, Franco Percolation of strongly correlated Gaussian fields. I: Decay of subcritical connection probabilities. (English) Zbl 07870784 Probab. Math. Phys. 5, No. 2, 357-412 (2024). MSC: 60K35 60G60 60G15 PDFBibTeX XMLCite \textit{S. Muirhead} and \textit{F. Severo}, Probab. Math. Phys. 5, No. 2, 357--412 (2024; Zbl 07870784) Full Text: DOI arXiv
Baverez, Guillaume; Guillarmou, Colin; Kupiainen, Antti; Rhodes, Rémi; Vargas, Vincent The Virasoro structure and the scattering matrix for Liouville conformal field theory. (English) Zbl 07870782 Probab. Math. Phys. 5, No. 2, 269-320 (2024). MSC: 37K30 47D07 60G60 81T40 PDFBibTeX XMLCite \textit{G. Baverez} et al., Probab. Math. Phys. 5, No. 2, 269--320 (2024; Zbl 07870782) Full Text: DOI arXiv
Furrer, Reinhard; Hediger, Michael On the orthogonality of zero-mean Gaussian measures: sufficiently dense sampling. (English) Zbl 07869136 Stochastic Processes Appl. 173, Article ID 104356, 12 p. (2024). MSC: 60G10 60G15 60G17 60G30 60G60 PDFBibTeX XMLCite \textit{R. Furrer} and \textit{M. Hediger}, Stochastic Processes Appl. 173, Article ID 104356, 12 p. (2024; Zbl 07869136) Full Text: DOI arXiv
Ma, Chunsheng Bifractional Brownian motions on metric spaces. (English) Zbl 07865971 J. Theor. Probab. 37, No. 2, 1299-1332 (2024). MSC: 60J65 60G22 60G60 62R20 PDFBibTeX XMLCite \textit{C. Ma}, J. Theor. Probab. 37, No. 2, 1299--1332 (2024; Zbl 07865971) Full Text: DOI
Malyarenko, Anatoliy; Porcu, Emilio Multivariate random fields evolving temporally over hyperbolic spaces. (English) Zbl 07865961 J. Theor. Probab. 37, No. 2, 975-1000 (2024). MSC: 60G60 51M10 PDFBibTeX XMLCite \textit{A. Malyarenko} and \textit{E. Porcu}, J. Theor. Probab. 37, No. 2, 975--1000 (2024; Zbl 07865961) Full Text: DOI OA License
Deuschel, Jean-Dominique; Rodriguez, Pierre-François A Ray-Knight theorem for \(\nabla \phi\) interface models and scaling limits. (English) Zbl 07859946 Probab. Theory Relat. Fields 189, No. 1-2, 447-499 (2024). MSC: 60G60 82B20 82B41 PDFBibTeX XMLCite \textit{J.-D. Deuschel} and \textit{P.-F. Rodriguez}, Probab. Theory Relat. Fields 189, No. 1--2, 447--499 (2024; Zbl 07859946) Full Text: DOI arXiv OA License
Perrin, Guillaume; Soize, Christian Reconstruction of random fields concentrated on an unknown curve using irregularly sampled data. (English) Zbl 1539.62291 Methodol. Comput. Appl. Probab. 26, No. 1, Paper No. 9, 20 p. (2024). MSC: 62M40 60G60 62G07 62M30 62R30 PDFBibTeX XMLCite \textit{G. Perrin} and \textit{C. Soize}, Methodol. Comput. Appl. Probab. 26, No. 1, Paper No. 9, 20 p. (2024; Zbl 1539.62291) Full Text: DOI
di Nunno, Giulia; Giordano, Michele Stochastic Volterra equations with time-changed Lévy noise and maximum principles. (English) Zbl 07859373 Ann. Oper. Res. 336, No. 1-2, 1265-1287 (2024). MSC: 60H10 60H20 93E20 60G60 91B70 PDFBibTeX XMLCite \textit{G. di Nunno} and \textit{M. Giordano}, Ann. Oper. Res. 336, No. 1--2, 1265--1287 (2024; Zbl 07859373) Full Text: DOI arXiv OA License
Beliaev, Dmitry; McAuley, Michael; Muirhead, Stephen A central limit theorem for the number of excursion set components of Gaussian fields. (English) Zbl 07856568 Ann. Probab. 52, No. 3, 882-922 (2024). MSC: 60G60 60G15 58K05 PDFBibTeX XMLCite \textit{D. Beliaev} et al., Ann. Probab. 52, No. 3, 882--922 (2024; Zbl 07856568) Full Text: DOI arXiv Link
Muirhead, Stephen Percolation of strongly correlated Gaussian fields. II: Sharpness of the phase transition. (English) Zbl 07856567 Ann. Probab. 52, No. 3, 838-881 (2024). MSC: 60K35 60G60 PDFBibTeX XMLCite \textit{S. Muirhead}, Ann. Probab. 52, No. 3, 838--881 (2024; Zbl 07856567) Full Text: DOI arXiv Link
Cheng, Dan The expected Euler characteristic approximation to excursion probabilities of smooth Gaussian random fields with general variance functions. (English) Zbl 07854749 Electron. J. Probab. 29, Paper No. 74, 26 p. (2024). MSC: 60G15 60G60 60G70 PDFBibTeX XMLCite \textit{D. Cheng}, Electron. J. Probab. 29, Paper No. 74, 26 p. (2024; Zbl 07854749) Full Text: DOI arXiv
Chen, Le; Guo, Yuhui; Song, Jian Moments and asymptotics for a class of SPDEs with space-time white noise. (English) Zbl 07853755 Trans. Am. Math. Soc. 377, No. 6, 4255-4301 (2024). MSC: 60H15 60G60 26A33 37H15 60H07 PDFBibTeX XMLCite \textit{L. Chen} et al., Trans. Am. Math. Soc. 377, No. 6, 4255--4301 (2024; Zbl 07853755) Full Text: DOI arXiv
Donhauzer, Illia; Olenko, Andriy Limit theorems for multifractal products of random fields. (English) Zbl 1539.60060 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127888, 32 p. (2024). MSC: 60G60 60G15 28A80 60G57 PDFBibTeX XMLCite \textit{I. Donhauzer} and \textit{A. Olenko}, J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127888, 32 p. (2024; Zbl 1539.60060) Full Text: DOI arXiv
Nummi, Patrik; Viitasaari, Lauri Necessary and sufficient conditions for continuity of hypercontractive processes and fields. (English) Zbl 1537.60043 Stat. Probab. Lett. 208, Article ID 110049, 6 p. (2024). MSC: 60G17 60G60 60G15 PDFBibTeX XMLCite \textit{P. Nummi} and \textit{L. Viitasaari}, Stat. Probab. Lett. 208, Article ID 110049, 6 p. (2024; Zbl 1537.60043) Full Text: DOI arXiv
Passeggeri, Riccardo; Wintenberger, Olivier Extremes for stationary regularly varying random fields over arbitrary index sets. (English) Zbl 07846580 Extremes 27, No. 2, 247-314 (2024). Reviewer: Eugen Paltanea (Braşov) MSC: 60G70 60G60 62G32 PDFBibTeX XMLCite \textit{R. Passeggeri} and \textit{O. Wintenberger}, Extremes 27, No. 2, 247--314 (2024; Zbl 07846580) Full Text: DOI arXiv OA License
La Valle, Gabriele; Soize, Christian Stochastic second-gradient continuum theory for particle-based materials. II. (English) Zbl 07845566 Z. Angew. Math. Phys. 75, No. 3, Paper No. 93, 20 p. (2024). MSC: 74A30 60G60 PDFBibTeX XMLCite \textit{G. La Valle} and \textit{C. Soize}, Z. Angew. Math. Phys. 75, No. 3, Paper No. 93, 20 p. (2024; Zbl 07845566) Full Text: DOI
Jorgensen, Palle E. T.; Tian, James F. Polymorphisms, their associated operator theory, self-similar fractals, and harmonic analysis. (English) Zbl 07840357 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 37-59 (2024). MSC: 46N30 47N30 28A50 28A80 28D05 37A30 60G15 60G60 60H05 46N50 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{J. F. Tian}, Contemp. Math. 797, 37--59 (2024; Zbl 07840357) Full Text: DOI
Kravchenko, A. A.; Khartov, A. A. Asymptotics of average case approximation complexity for tensor products of Euler integrated processes. (English. Russian original) Zbl 1535.60087 J. Math. Sci., New York 281, No. 1, 100-110 (2024); translation from Zap. Nauchn. Semin. POMI 505, 147-161 (2021). MSC: 60G60 PDFBibTeX XMLCite \textit{A. A. Kravchenko} and \textit{A. A. Khartov}, J. Math. Sci., New York 281, No. 1, 100--110 (2024; Zbl 1535.60087); translation from Zap. Nauchn. Semin. POMI 505, 147--161 (2021) Full Text: DOI
Ding, Jian; Gwynne, Ewain The critical Liouville quantum gravity metric induces the Euclidean topology. (English) Zbl 07834625 Front. Math. (Beijing) 19, No. 1, 1-46 (2024). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60G60 PDFBibTeX XMLCite \textit{J. Ding} and \textit{E. Gwynne}, Front. Math. (Beijing) 19, No. 1, 1--46 (2024; Zbl 07834625) Full Text: DOI arXiv
Shi, Zhiyan; Xi, Xinyue; Zang, Qingpei The generalized entropy ergodic theorem for Markov chains indexed by a spherically symmetric tree. (English) Zbl 07833923 Commun. Stat., Theory Methods 53, No. 6, 2178-2193 (2024). MSC: 60G60 60J10 60F15 PDFBibTeX XMLCite \textit{Z. Shi} et al., Commun. Stat., Theory Methods 53, No. 6, 2178--2193 (2024; Zbl 07833923) Full Text: DOI
Biskup, Marek; Gufler, Stephan; Louidor, Oren Near-maxima of the two-dimensional discrete Gaussian free field. (English. French summary) Zbl 1534.60064 Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 1, 281-311 (2024). MSC: 60G70 60G60 60G15 60G57 PDFBibTeX XMLCite \textit{M. Biskup} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 1, 281--311 (2024; Zbl 1534.60064) Full Text: DOI arXiv
Kempka, H.; Schneider, C.; Vybiral, J. Path regularity of the Brownian motion and the Brownian sheet. (English) Zbl 1534.60046 Constr. Approx. 59, No. 2, 485-539 (2024). MSC: 60G17 60G15 46E35 60G60 PDFBibTeX XMLCite \textit{H. Kempka} et al., Constr. Approx. 59, No. 2, 485--539 (2024; Zbl 1534.60046) Full Text: DOI arXiv OA License
Bolin, David; Simas, Alexandre B.; Wallin, Jonas Gaussian Whittle-Matérn fields on metric graphs. (English) Zbl 1534.60063 Bernoulli 30, No. 2, 1611-1639 (2024). MSC: 60G60 60G15 35J25 35R60 60G17 60H15 PDFBibTeX XMLCite \textit{D. Bolin} et al., Bernoulli 30, No. 2, 1611--1639 (2024; Zbl 1534.60063) Full Text: DOI arXiv Link
Alegría, Alfredo; Cleanthous, Galatia; Georgiadis, Athanasios G.; Porcu, Emilio; White, Philip A. Gaussian random fields on the product of spheres: theory and applications. (English) Zbl 1535.60085 Electron. J. Stat. 18, No. 1, 1394-1435 (2024). MSC: 60G60 62F15 62P12 60G15 60G20 53A35 PDFBibTeX XMLCite \textit{A. Alegría} et al., Electron. J. Stat. 18, No. 1, 1394--1435 (2024; Zbl 1535.60085) Full Text: DOI Link
Krishnapur, Manjunath; Lundberg, Erik; Ramachandran, Koushik Inradius of random lemniscates. (English) Zbl 07818441 J. Approx. Theory 299, Article ID 106018, 25 p. (2024). Reviewer: Andrei Martínez Finkelshtein (Waco) MSC: 30C10 60G60 31A15 PDFBibTeX XMLCite \textit{M. Krishnapur} et al., J. Approx. Theory 299, Article ID 106018, 25 p. (2024; Zbl 07818441) Full Text: DOI arXiv
Le Jan, Yves Connections and loops intertwinning. (English) Zbl 1539.60091 Potential Anal. 60, No. 3, 1215-1229 (2024). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J27 60G60 PDFBibTeX XMLCite \textit{Y. Le Jan}, Potential Anal. 60, No. 3, 1215--1229 (2024; Zbl 1539.60091) Full Text: DOI arXiv
Broadbridge, Philip; Donhauzer, Illia; Olenko, Andriy Stochastic diffusion within expanding space-time. (English) Zbl 1534.35455 Z. Angew. Math. Phys. 75, No. 2, Paper No. 42, 22 p. (2024). MSC: 35R60 35R01 35Q85 60G60 60G15 60H15 PDFBibTeX XMLCite \textit{P. Broadbridge} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 42, 22 p. (2024; Zbl 1534.35455) Full Text: DOI arXiv OA License
Maini, Leonardo Asymptotic covariances for functionals of weakly stationary random fields. (English) Zbl 1532.60106 Stochastic Processes Appl. 170, Article ID 104297, 19 p. (2024). MSC: 60G60 60G10 60G12 60G15 60F05 PDFBibTeX XMLCite \textit{L. Maini}, Stochastic Processes Appl. 170, Article ID 104297, 19 p. (2024; Zbl 1532.60106) Full Text: DOI arXiv
Chiarini, Leandro; Ruszel, Wioletta M. Stochastic homogenization of Gaussian fields on random media. (English) Zbl 07812086 Ann. Henri Poincaré 25, No. 3, 1869-1895 (2024). MSC: 60K37 60G15 60G60 35B27 60J60 60G20 PDFBibTeX XMLCite \textit{L. Chiarini} and \textit{W. M. Ruszel}, Ann. Henri Poincaré 25, No. 3, 1869--1895 (2024; Zbl 07812086) Full Text: DOI arXiv OA License
Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo Erratum to: “Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d \geq 3\)”. (English) Zbl 1532.60104 Ann. Probab. 52, No. 1, 381-385 (2024). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 52, No. 1, 381--385 (2024; Zbl 1532.60104) Full Text: DOI Link
Leonenko, N.; Olenko, A.; Vaz, J. On fractional spherically restricted hyperbolic diffusion random field. (English) Zbl 1532.60105 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107866, 15 p. (2024). MSC: 60G60 60G15 60D05 60K05 PDFBibTeX XMLCite \textit{N. Leonenko} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107866, 15 p. (2024; Zbl 1532.60105) Full Text: DOI
Sheng, Shunan; Xiang, Qikun; Nevat, Ido; Neufeld, Ariel Binary spatial random field reconstruction from non-Gaussian inhomogeneous time-series observations. (English) Zbl 1533.68019 J. Franklin Inst. 361, No. 2, 612-636 (2024). MSC: 68M18 60G60 62M40 PDFBibTeX XMLCite \textit{S. Sheng} et al., J. Franklin Inst. 361, No. 2, 612--636 (2024; Zbl 1533.68019) Full Text: DOI arXiv
Lupu, Titus; Wu, Hao A level line of the Gaussian free field with measure-valued boundary conditions. (English) Zbl 1532.60168 Sci. China, Math. 67, No. 2, 367-404 (2024). MSC: 60J67 60K35 60G60 60D05 PDFBibTeX XMLCite \textit{T. Lupu} and \textit{H. Wu}, Sci. China, Math. 67, No. 2, 367--404 (2024; Zbl 1532.60168) Full Text: DOI arXiv HAL
Ding, Jian; Gwynne, Ewain Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric. (English) Zbl 1532.60018 Probab. Math. Phys. 5, No. 1, 1-54 (2024). MSC: 60D05 60G60 37F35 PDFBibTeX XMLCite \textit{J. Ding} and \textit{E. Gwynne}, Probab. Math. Phys. 5, No. 1, 1--54 (2024; Zbl 1532.60018) Full Text: DOI arXiv
Todino, Anna Paola No smooth phase transition for the nodal length of band-limited spherical random fields. (English) Zbl 07800506 Stochastic Processes Appl. 169, Article ID 104273, 23 p. (2024). MSC: 60G60 42C10 33C55 62M15 35P20 PDFBibTeX XMLCite \textit{A. P. Todino}, Stochastic Processes Appl. 169, Article ID 104273, 23 p. (2024; Zbl 07800506) Full Text: DOI arXiv
Bourguin, Solesne; Durastanti, Claudio; Marinucci, Domenico; Todino, Anna Paola Spherical Poisson waves. (English) Zbl 07798912 Electron. J. Probab. 29, Paper No. 8, 27 p. (2024). MSC: 60G60 60F05 60B10 PDFBibTeX XMLCite \textit{S. Bourguin} et al., Electron. J. Probab. 29, Paper No. 8, 27 p. (2024; Zbl 07798912) Full Text: DOI arXiv
Enciso, Alberto; Peralta-Salas, Daniel; Romaniega, Álvaro Critical point asymptotics for Gaussian random waves with densities of any Sobolev regularity. (English) Zbl 07794577 Adv. Math. 437, Article ID 109450, 59 p. (2024). MSC: 60G60 43A90 60D05 60G15 PDFBibTeX XMLCite \textit{A. Enciso} et al., Adv. Math. 437, Article ID 109450, 59 p. (2024; Zbl 07794577) Full Text: DOI arXiv OA License
Goldys, Beniamin; Peszat, Szymon On linear stochastic flows. (English) Zbl 1530.60049 Trans. Am. Math. Soc. 377, No. 2, 753-774 (2024). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H15 60G15 60G60 PDFBibTeX XMLCite \textit{B. Goldys} and \textit{S. Peszat}, Trans. Am. Math. Soc. 377, No. 2, 753--774 (2024; Zbl 1530.60049) Full Text: DOI arXiv
Jakubowski, Jacek; Wiśniewolski, Maciej On bivariate distributions of the local time of Itô-McKean diffusions. (English) Zbl 1536.60069 Bernoulli 30, No. 1, 227-251 (2024). Reviewer: Rolando Rebolledo Berroeta (Santiago de Chile) MSC: 60J60 60G60 33C10 PDFBibTeX XMLCite \textit{J. Jakubowski} and \textit{M. Wiśniewolski}, Bernoulli 30, No. 1, 227--251 (2024; Zbl 1536.60069) Full Text: DOI
Schweiger, Florian Finite range decompositions of Gaussian fields with applications to level-set percolation. (English) Zbl 07787695 J. Funct. Anal. 286, No. 5, Article ID 110285, 34 p. (2024). Reviewer: Oleksandr Mokliachuk (Princeton) MSC: 60G15 60K35 60G60 82B43 PDFBibTeX XMLCite \textit{F. Schweiger}, J. Funct. Anal. 286, No. 5, Article ID 110285, 34 p. (2024; Zbl 07787695) Full Text: DOI arXiv
Ferreira, Helena; Ferreira, Marta; Alexandre, Luís A. A crossinggram for random fields on lattices. (English) Zbl 07786247 Indag. Math., New Ser. 35, No. 1, 131-142 (2024). MSC: 60G70 60G60 62G32 PDFBibTeX XMLCite \textit{H. Ferreira} et al., Indag. Math., New Ser. 35, No. 1, 131--142 (2024; Zbl 07786247) Full Text: DOI arXiv OA License
Caramellino, Lucia; Giorgio, Giacomo; Rossi, Maurizia Convergence in total variation for nonlinear functionals of random hyperspherical harmonics. (English) Zbl 07784453 J. Funct. Anal. 286, No. 3, Article ID 110239, 32 p. (2024). MSC: 60G60 60B10 42C10 60H07 PDFBibTeX XMLCite \textit{L. Caramellino} et al., J. Funct. Anal. 286, No. 3, Article ID 110239, 32 p. (2024; Zbl 07784453) Full Text: DOI arXiv OA License
Chen, Zhenlong; Yuan, Weijie Multiple intersections of space-time anisotropic Gaussian fields. (English) Zbl 1538.60055 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 275-294 (2024). MSC: 60G15 60G17 60G60 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{W. Yuan}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 275--294 (2024; Zbl 1538.60055) Full Text: DOI
Aizenman, Michael; Duminil-Copin, Hugo Corrigendum to: “Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models”. (English) Zbl 1527.60073 Ann. Math. (2) 199, No. 1, 479 (2024). MSC: 60K35 82B20 82B27 60G60 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{H. Duminil-Copin}, Ann. Math. (2) 199, No. 1, 479 (2024; Zbl 1527.60073) Full Text: DOI
Maso, Gianni Dal; Donati, Davide Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms. arXiv:2409.07820 Preprint, arXiv:2409.07820 [math.AP] (2024). MSC: 49J45 49Q20 60G60 74Q05 74S60 BibTeX Cite \textit{G. D. Maso} and \textit{D. Donati}, ``Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms'', Preprint, arXiv:2409.07820 [math.AP] (2024) Full Text: arXiv OA License
Khachatryan, L. A.; Nahapetian, B. S. Gibbs scheme in the theory of random fields. arXiv:2408.15369 Preprint, arXiv:2408.15369 [math.PR] (2024). MSC: 82B03 60G60 60E05 60J99 BibTeX Cite \textit{L. A. Khachatryan} and \textit{B. S. Nahapetian}, ``Gibbs scheme in the theory of random fields'', Preprint, arXiv:2408.15369 [math.PR] (2024) Full Text: arXiv OA License
Côté, Benjamin; Cossette, Hélène; Marceau, Etienne Tree-structured Markov random fields with Poisson marginal distributions. arXiv:2408.13649 Preprint, arXiv:2408.13649 [stat.ME] (2024). MSC: 60G60 62H22 60E15 05C05 BibTeX Cite \textit{B. Côté} et al., ``Tree-structured Markov random fields with Poisson marginal distributions'', Preprint, arXiv:2408.13649 [stat.ME] (2024) Full Text: arXiv OA License
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W. Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions. arXiv:2408.08136 Preprint, arXiv:2408.08136 [math-ph] (2024). MSC: 82B20 60G60 BibTeX Cite \textit{M. Disertori} et al., ``Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions'', Preprint, arXiv:2408.08136 [math-ph] (2024) Full Text: arXiv OA License
Aru, Juhan; Woessner, Guillaume A martingale-type of characterisation of the Gaussian free field and fractional Gaussian free fields. arXiv:2407.16261 Preprint, arXiv:2407.16261 [math.PR] (2024). MSC: 60G60 60G15 BibTeX Cite \textit{J. Aru} and \textit{G. Woessner}, ``A martingale-type of characterisation of the Gaussian free field and fractional Gaussian free fields'', Preprint, arXiv:2407.16261 [math.PR] (2024) Full Text: arXiv OA License
Kataria, K. K.; Vishwakarma, P. Fractional Poisson Random Fields on \(\mathbb{R}^2_+\). arXiv:2407.15619 Preprint, arXiv:2407.15619 [math.PR] (2024). MSC: 60G55 60G57 60G60 BibTeX Cite \textit{K. K. Kataria} and \textit{P. Vishwakarma}, ``Fractional Poisson Random Fields on $\mathbb{R}^2_+$'', Preprint, arXiv:2407.15619 [math.PR] (2024) Full Text: arXiv OA License
Kazashi, Yoshihito; Müller, Eike H.; Scheichl, Robert Multigrid Monte Carlo Revisited: Theory and Bayesian Inference. arXiv:2407.12149 Preprint, arXiv:2407.12149 [math.NA] (2024). MSC: 60J22 60G60 62F15 65C05 65N55 BibTeX Cite \textit{Y. Kazashi} et al., ``Multigrid Monte Carlo Revisited: Theory and Bayesian Inference'', Preprint, arXiv:2407.12149 [math.NA] (2024) Full Text: arXiv OA License
Forien, Raphaël; Wiederhold, Bastian Central limit theorems describing isolation by distance under varying population size. arXiv:2407.10211 Preprint, arXiv:2407.10211 [math.PR] (2024). MSC: 60F17 60G60 60J90 92D15 BibTeX Cite \textit{R. Forien} and \textit{B. Wiederhold}, ``Central limit theorems describing isolation by distance under varying population size'', Preprint, arXiv:2407.10211 [math.PR] (2024) Full Text: arXiv OA License
Makogin, Vitaly; Spodarev, Evgeny A short memory condition for infinitely divisible random fields. arXiv:2407.09205 Preprint, arXiv:2407.09205 [math.PR] (2024). MSC: 60G60 BibTeX Cite \textit{V. Makogin} and \textit{E. Spodarev}, ``A short memory condition for infinitely divisible random fields'', Preprint, arXiv:2407.09205 [math.PR] (2024) Full Text: arXiv OA License
Cao, Sky; Sheffield, Scott Fractional Gaussian forms and gauge theory: an overview. arXiv:2406.19321 Preprint, arXiv:2406.19321 [math.PR] (2024). MSC: 60G60 81T13 BibTeX Cite \textit{S. Cao} and \textit{S. Sheffield}, ``Fractional Gaussian forms and gauge theory: an overview'', Preprint, arXiv:2406.19321 [math.PR] (2024) Full Text: arXiv OA License
Jansson, Erik; Lang, Annika; Pereira, Mike Non-stationary Gaussian random fields on hypersurfaces: Sampling and strong error analysis. arXiv:2406.08185 Preprint, arXiv:2406.08185 [math.NA] (2024). MSC: 60G60 60H35 60H15 65C30 60G15 58J05 41A10 65N30 65M60 BibTeX Cite \textit{E. Jansson} et al., ``Non-stationary Gaussian random fields on hypersurfaces: Sampling and strong error analysis'', Preprint, arXiv:2406.08185 [math.NA] (2024) Full Text: arXiv OA License
Pistolato, Francesca; Stecconi, Michele Expected Lipschitz-Killing curvatures for spin random fields and other non-isotropic fields. arXiv:2406.04850 Preprint, arXiv:2406.04850 [math.PR] (2024). MSC: 60D05 60G60 33C55 85A40 53B20 BibTeX Cite \textit{F. Pistolato} and \textit{M. Stecconi}, ``Expected Lipschitz-Killing curvatures for spin random fields and other non-isotropic fields'', Preprint, arXiv:2406.04850 [math.PR] (2024) Full Text: arXiv OA License
Biskup, Marek; Gufler, Stephan; Louidor, Oren On support sets of the critical Liouville Quantum Gravity. arXiv:2406.02814 Preprint, arXiv:2406.02814 [math.PR] (2024). MSC: 60G57 28A78 60G15 60G60 BibTeX Cite \textit{M. Biskup} et al., ``On support sets of the critical Liouville Quantum Gravity'', Preprint, arXiv:2406.02814 [math.PR] (2024) Full Text: arXiv OA License
Aru, Juhan; Bordereau, Philémon SLE and its partition function in multiply connected domains via the Gaussian Free Field and restriction measures. arXiv:2405.20148 Preprint, arXiv:2405.20148 [math.PR] (2024). MSC: 60G60 60G15 60K35 BibTeX Cite \textit{J. Aru} and \textit{P. Bordereau}, ``SLE and its partition function in multiply connected domains via the Gaussian Free Field and restriction measures'', Preprint, arXiv:2405.20148 [math.PR] (2024) Full Text: arXiv OA License
Chen, Keming; Woessner, Guillaume Zeros of the Brownian Sheet. arXiv:2405.20019 Preprint, arXiv:2405.20019 [math.PR] (2024). MSC: 60G15 60G17 60G60 BibTeX Cite \textit{K. Chen} and \textit{G. Woessner}, ``Zeros of the Brownian Sheet'', Preprint, arXiv:2405.20019 [math.PR] (2024) Full Text: arXiv OA License
Di Lillo, Simmaco; Marinucci, Domenico; Salvi, Michele; Vigogna, Stefano Spectral complexity of deep neural networks. arXiv:2405.09541 Preprint, arXiv:2405.09541 [stat.ML] (2024). MSC: 68T07 60G60 33C55 62M15 BibTeX Cite \textit{S. Di Lillo} et al., ``Spectral complexity of deep neural networks'', Preprint, arXiv:2405.09541 [stat.ML] (2024) Full Text: arXiv OA License
Arguin, Louis-Pierre; Hamdan, Jad The Fyodorov-Hiary-Keating Conjecture on Mesoscopic Intervals. arXiv:2405.06474 Preprint, arXiv:2405.06474 [math.NT] (2024). MSC: 60G70 11M06 60F10 60G60 BibTeX Cite \textit{L.-P. Arguin} and \textit{J. Hamdan}, ``The Fyodorov-Hiary-Keating Conjecture on Mesoscopic Intervals'', Preprint, arXiv:2405.06474 [math.NT] (2024) Full Text: arXiv OA License
Hopkalo, Olha; Sakhno, Lyudmyla Investigation of sample paths properties of sub-Gaussian type random fields, with application to stochasic heat equations. arXiv:2405.04242 Preprint, arXiv:2405.04242 [math.PR] (2024). MSC: 35G10 35R60 60G20 60G60 BibTeX Cite \textit{O. Hopkalo} and \textit{L. Sakhno}, ``Investigation of sample paths properties of sub-Gaussian type random fields, with application to stochasic heat equations'', Preprint, arXiv:2405.04242 [math.PR] (2024) Full Text: arXiv OA License
Adame-Carrillo, David; Behzad, Delara; Kytölä, Kalle Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT. arXiv:2404.15490 Preprint, arXiv:2404.15490 [math-ph] (2024). MSC: 17B68 30G25 60G60 60G15 82B20 82B23 BibTeX Cite \textit{D. Adame-Carrillo} et al., ``Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT'', Preprint, arXiv:2404.15490 [math-ph] (2024) Full Text: arXiv OA License
Peccati, Giovanni; Stecconi, Michele Nodal Volumes as Differentiable Functionals of Gaussian fields. arXiv:2403.20243 Preprint, arXiv:2403.20243 [math.PR] (2024). MSC: 60G15 60H07 60G60 58K05 28A75 BibTeX Cite \textit{G. Peccati} and \textit{M. Stecconi}, ``Nodal Volumes as Differentiable Functionals of Gaussian fields'', Preprint, arXiv:2403.20243 [math.PR] (2024) Full Text: arXiv OA License
Aru, Juhan; Jego, Antoine; Junnila, Janne The density of imaginary multiplicative chaos is positive. arXiv:2403.05289 Preprint, arXiv:2403.05289 [math.PR] (2024). MSC: 60G15 60G20 60G60 BibTeX Cite \textit{J. Aru} et al., ``The density of imaginary multiplicative chaos is positive'', Preprint, arXiv:2403.05289 [math.PR] (2024) Full Text: arXiv OA License
McAuley, Michael Three central limit theorems for the unbounded excursion component of a Gaussian field. arXiv:2403.03033 Preprint, arXiv:2403.03033 [math.PR] (2024). MSC: 60G60 60G15 58K05 BibTeX Cite \textit{M. McAuley}, ``Three central limit theorems for the unbounded excursion component of a Gaussian field'', Preprint, arXiv:2403.03033 [math.PR] (2024) Full Text: arXiv OA License
Smutek, Krzysztof Fluctuations of the Nodal Number in the Two-Energy Planar Berry Random Wave Model. arXiv:2402.18219 Preprint, arXiv:2402.18219 [math.PR] (2024). MSC: 60G60 60B10 60D05 58J50 35P20 BibTeX Cite \textit{K. Smutek}, ``Fluctuations of the Nodal Number in the Two-Energy Planar Berry Random Wave Model'', Preprint, arXiv:2402.18219 [math.PR] (2024) Full Text: arXiv OA License
Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero; Tölle, Jonas M.; Viitasaari, Lauri 1D stochastic pressure equation with log-correlated Gaussian coefficients. arXiv:2402.09127 Preprint, arXiv:2402.09127 [math.PR] (2024). MSC: 34F05 35J57 46F10 60G15 60G57 60G60 60H10 60H40 BibTeX Cite \textit{B. Avelin} et al., ``1D stochastic pressure equation with log-correlated Gaussian coefficients'', Preprint, arXiv:2402.09127 [math.PR] (2024) Full Text: arXiv OA License
Leonenko, N. N.; Ruiz-Medina, M. D. High-level moving excursions for spatiotemporal Gaussian random fields with long range dependence. arXiv:2402.09003 Preprint, arXiv:2402.09003 [math.PR] (2024). MSC: 60G10 60G12 60G18 60G20 60G22 60G60 60G60 BibTeX Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, ``High-level moving excursions for spatiotemporal Gaussian random fields with long range dependence'', Preprint, arXiv:2402.09003 [math.PR] (2024) Full Text: arXiv OA License
Ovalle-Muñoz, Diana P.; Ruiz-Medina, M. Dolores Manifold functional multiple regression model with LRD error term. arXiv:2402.08569 Preprint, arXiv:2402.08569 [math.ST] (2024). MSC: 60G10 60G12 60G18 60G20 60G22 60G60 BibTeX Cite \textit{D. P. Ovalle-Muñoz} and \textit{M. D. Ruiz-Medina}, ``Manifold functional multiple regression model with LRD error term'', Preprint, arXiv:2402.08569 [math.ST] (2024) Full Text: arXiv OA License
Dalang, Robert C.; Sanz-Solé, Marta Stochastic Partial Differential Equations, Space-time White Noise and Random Fields. arXiv:2402.02119 Preprint, arXiv:2402.02119 [math.PR] (2024). MSC: 60H15 35R60 60G60 35E05 35B65 BibTeX Cite \textit{R. C. Dalang} and \textit{M. Sanz-Solé}, ``Stochastic Partial Differential Equations, Space-time White Noise and Random Fields'', Preprint, arXiv:2402.02119 [math.PR] (2024) Full Text: arXiv OA License
Shklyar, Sergiy First-order planar autoregressive model. arXiv:2402.01563 Preprint, arXiv:2402.01563 [math.PR] (2024). MSC: 60G60 62M10 BibTeX Cite \textit{S. Shklyar}, ``First-order planar autoregressive model'', Preprint, arXiv:2402.01563 [math.PR] (2024) Full Text: arXiv OA License
Aru, Juhan; Baverez, Guillaume; Jego, Antoine; Junnila, Janne Noise-like analytic properties of imaginary chaos. arXiv:2401.14942 Preprint, arXiv:2401.14942 [math.PR] (2024). MSC: 60G15 60G20 60G60 BibTeX Cite \textit{J. Aru} et al., ``Noise-like analytic properties of imaginary chaos'', Preprint, arXiv:2401.14942 [math.PR] (2024) Full Text: arXiv OA License
Cerclé, Baptiste Higher equations of motion for boundary Liouville Conformal Field Theory from the Ward identities. arXiv:2401.13271 Preprint, arXiv:2401.13271 [math.PR] (2024). MSC: 60G60 81T40 17B68 BibTeX Cite \textit{B. Cerclé}, ``Higher equations of motion for boundary Liouville Conformal Field Theory from the Ward identities'', Preprint, arXiv:2401.13271 [math.PR] (2024) Full Text: arXiv OA License
Voutilainen, Marko One-to-one correspondences between discrete multivariate stationary, self-similar and stationary increment fields. arXiv:2401.09909 Preprint, arXiv:2401.09909 [math.PR] (2024). MSC: 60G60 60G10 60G18 BibTeX Cite \textit{M. Voutilainen}, ``One-to-one correspondences between discrete multivariate stationary, self-similar and stationary increment fields'', Preprint, arXiv:2401.09909 [math.PR] (2024) Full Text: arXiv OA License
Talarczyk, Anna; Wiśniewolski, Maciej On small deviations of Gaussian multiplicative chaos with a strictly logarithmic covariance on Euclidean ball. arXiv:2401.07695 Preprint, arXiv:2401.07695 [math.PR] (2024). MSC: 60G15 60G60 BibTeX Cite \textit{A. Talarczyk} and \textit{M. Wiśniewolski}, ``On small deviations of Gaussian multiplicative chaos with a strictly logarithmic covariance on Euclidean ball'', Preprint, arXiv:2401.07695 [math.PR] (2024) Full Text: arXiv OA License