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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

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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

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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

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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

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Hu, Qirui; Li, Jie

Statistical inference for mean function of longitudinal imaging data over complicated domains. (English) Zbl 1540.62052

Stat. Sin. 34, No. 2, 955-982 (2024).

MSC: 62G08 62G15 62G20 62M40

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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

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Bae, Sunghan; Jung, Hwanyup

Complex moments and the distribution of values of \(L(1, \chi_u)\) in even characteristic. (English) Zbl 07830308

Bull. Korean Math. Soc. 61, No. 1, 65-81 (2024).

Reviewer: Sami Omar (Sukhair)

MSC: 11R59 11M38 11R29 11R18

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Lambert, Gaultier; Leblé, Thomas; Zeitouni, Ofer

Law of large numbers for the maximum of the two-dimensional Coulomb gas potential. (English) Zbl 1536.82003

Electron. J. Probab. 29, Paper No. 42, 36 p. (2024).

MSC: 82B05 60G70 60K35 82D10 44A10

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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

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Dȩbicki, Krzysztof; Hashorva, Enkelejd; Michna, Zbigniew

On Berman functions. (English) Zbl 1533.60041

Methodol. Comput. Appl. Probab. 26, No. 1, Paper No. 2, 27 p. (2024).

MSC: 60G15 60G70

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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

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Bevilacqua, Moreno; Alvarado, Eloy; Caamaño-Carrillo, Christian

A flexible Clayton-like spatial copula with application to bounded support data. (English) Zbl 07823274

J. Multivariate Anal. 201, Article ID 105277, 18 p. (2024).

MSC: 62H11 62M30

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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

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Schweiger, Florian; Zeitouni, Ofer

The maximum of log-correlated Gaussian fields in random environment. (English) Zbl 1534.60155

Commun. Pure Appl. Math. 77, No. 5, 2778-2859 (2024).

MSC: 60K35 60G15 82B43 60K37

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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

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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

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Kharwanlang, R. S.; Syiem, Elisheba

Study of the hysteretic response with dilution and quenched spins in the low disorder limit of the random field 3-state clock model at zero temperature. (English) Zbl 07812601

J. Stat. Phys. 191, No. 2, Paper No. 23, 20 p. (2024).

MSC: 82Cxx 34Cxx 00Bxx

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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

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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

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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

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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

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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

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Roy, Rishideep

A branching random walk in the presence of a hard wall. (English) Zbl 1533.60138

J. Appl. Probab. 61, No. 1, 1-17 (2024).

MSC: 60J80 60G15 60G70

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Komastu, Takashi; Konno, Norio; Sato, Iwao

Zeta functions of periodic graphs derived from quantum walk. (English) Zbl 1540.11122

Discrete Math. 347, No. 4, Article ID 113880, 12 p. (2024).

MSC: 11M41 05C25 05C38 05C50 05C81

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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

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Found 9,243 Documents (Results 1–100)

Gaussian Markov random fields over graphs of paths and high relative accuracy. (English) Zbl 07900345

Quadratic variations for Gaussian isotropic random fields on the sphere. (English. French summary) Zbl 07923695

Roughness of geodesics in Liouville quantum gravity. (English. French summary) Zbl 07923693

Small ball probabilities for the stochastic heat equation with colored noise. (English) Zbl 07923230

Maximum of the Gaussian interface model in random external fields. (English) Zbl 07922462

Percolation for two-dimensional excursion clouds and the discrete Gaussian free field. (English) Zbl 07922286

Shift-invariant homogeneous classes of random fields. (English) Zbl 07922147

Simulation of doubly stochastic Poisson point processes and application to nucleation of nanocrystals and evaluation of exciton fluxes. (English) Zbl 07922098

Probabilistic generation of finite almost simple groups. (English) Zbl 07916598

Expectation of a random submanifold: the zonoid section. (Espérance d’une sous variété aléatoire: la section en zonoïdes.) (English. French summary) Zbl 07914809

Fluctuations of level curves for time-dependent spherical random fields. (Fluctuations des courbes de niveau pour les champs aléatoires sphériques dépendant du temps.) (English. French summary) Zbl 07914801

Higher-order derivative of local times for space-time anisotropic Gaussian random fields. (English) Zbl 07913926

Spatial extremes and stochastic geometry for Gaussian-based peaks-over-threshold processes. (English) Zbl 07909812

On the properties of multivariate isotropic random fields on the ball. (English) Zbl 07909285

Liouville quantum gravity weighted by conformal loop ensemble nesting statistics. (English) Zbl 07906400

Estimation of average differential entropy for a stationary ergodic space-time random field on a bounded area. (English) Zbl 07906356

Slab percolation for the Ising model revisited. (English) Zbl 07905739

Deviation inequality for Banach-valued orthomartingales. (English) Zbl 07904802

Weighted high dimensional data reduction of Finite element features: an application on high pressure of an abdominal aortic Aneurysm. (English) Zbl 07904638

CNN-based prediction of microstructure-derived random property fields of composite materials. (English) Zbl 07904366

Moments of partition functions of 2D Gaussian polymers in the weak disorder regime. II. (English) Zbl 07904058

Bayesian image segmentation under varying blur with triplet Markov random field. (English) Zbl 07902813

Non-uniqueness phase of percolation on reflection groups in \({\mathbb{H}^3} \). (English) Zbl 07900857

Hausdorff measure and uniform dimension for space-time anisotropic Gaussian random fields. (English) Zbl 07900850

Sojourn times of Gaussian processes with random parameters. (English) Zbl 07900840

Surface area and volume of excursion sets observed on point cloud based polytopic tessellations. (English) Zbl 07900405

Generating Galton-Watson trees using random walks and percolation for the Gaussian free field. (English) Zbl 07900400

Scaling priors for intrinsic Gaussian Markov random fields applied to blood pressure data. (English) Zbl 07899530

Weak Liouville quantum gravity metrics with matter central charge \(c \in (- \infty, 25)\). (English) Zbl 07898592

High excursion probabilities for Gaussian fields on smooth manifolds. (English. Russian original) Zbl 07898582

Isotropic random tangential vector fields on spheres. (English) Zbl 07898556

On the maxima of non stationary random fields subject to missing observations. (English) Zbl 07897856

Uncertainty modeling and propagation for groundwater flow: a comparative study of surrogates. (English) Zbl 07896987

Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles. (English) Zbl 07896924

A diffusion-based spatio-temporal extension of Gaussian Matérn fields. (English) Zbl 07892374

Prediction in regression models with continuous observations. (English) Zbl 1541.62157

Scaling limits of nonlinear functions of random grain model, with application to Burgers’ equation. (English) Zbl 07879398

Randomized limit theorems for stationary ergodic random processes and fields. (English) Zbl 07879394

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor. (English) Zbl 07879080

Smooth Matérn Gaussian random fields: Euler characteristic, expected number and height distribution of critical points. (English) Zbl 1541.60024

Gaussian random field approximation via Stein’s method with applications to wide random neural networks. (English) Zbl 1541.60034

Complex-order scale-invariant operators and self-similar processes. (English) Zbl 1541.60027

On approximation for time-fractional stochastic diffusion equations on the unit sphere. (English) Zbl 1540.60138

Free energy landscapes in spherical spin glasses. (English) Zbl 07875267

Binary sequence family with both small cross-correlation and large family complexity. (English) Zbl 07874553

Moment inequalities for sums of weakly dependent random fields. (English) Zbl 07874429

Asymptotics for isotropic Hilbert-valued spherical random fields. (English) Zbl 07874398

First passage percolation for weakly correlated fields. (English) Zbl 1540.60225

The spectrum of asymptotic Cayley trees. (English) Zbl 07872286

\(p\)-adic Brownian motion is a scaling limit. (English) Zbl 1540.60185

Convergence for complex Gaussian multiplicative chaos on phase boundaries. (English) Zbl 07870787

Percolation of strongly correlated Gaussian fields. I: Decay of subcritical connection probabilities. (English) Zbl 1540.60223

On the orthogonality of zero-mean Gaussian measures: sufficiently dense sampling. (English) Zbl 07869136

Multiscale decomposition of spatial lattice data for hotspot detection. (English) Zbl 07868378

Critical intermittency in rational maps. (English) Zbl 07867496

A statistical learning view of simple kriging. (English) Zbl 1541.62253

Bifractional Brownian motions on metric spaces. (English) Zbl 1541.60064

Multivariate random fields evolving temporally over hyperbolic spaces. (English) Zbl 07865961

Asymptotic normality of the LSE for chirp signal parameters. (English) Zbl 1539.62290

A Ray-Knight theorem for \(\nabla \phi\) interface models and scaling limits. (English) Zbl 07859946

Reconstruction of random fields concentrated on an unknown curve using irregularly sampled data. (English) Zbl 1539.62291

Stochastic Volterra equations with time-changed Lévy noise and maximum principles. (English) Zbl 07859373

A central limit theorem for the number of excursion set components of Gaussian fields. (English) Zbl 07856568

Percolation of strongly correlated Gaussian fields. II: Sharpness of the phase transition. (English) Zbl 07856567

The tensor Harish-Chandra-Itzykson-Zuber integral. I: Weingarten calculus and a generalization of monotone Hurwitz numbers. (English) Zbl 07855098

The expected Euler characteristic approximation to excursion probabilities of smooth Gaussian random fields with general variance functions. (English) Zbl 07854749

Full inference for the anisotropic fractional Brownian field. (English) Zbl 07854692

Moments and asymptotics for a class of SPDEs with space-time white noise. (English) Zbl 1540.60142

Limit theorems for multifractal products of random fields. (English) Zbl 1539.60060

Necessary and sufficient conditions for continuity of hypercontractive processes and fields. (English) Zbl 1537.60043

Extremes for stationary regularly varying random fields over arbitrary index sets. (English) Zbl 07846580

Extremes of locally-homogenous vector-valued Gaussian processes. (English) Zbl 07846579

Stochastic second-gradient continuum theory for particle-based materials. II. (English) Zbl 07845566