Webb5 nov. 2024 · in Probab. Theory Related Fields (2011), 151(1-2), 353--401. Top of Page 2010 . A Bernstein-type inequality for suprema of random processes with applications to model selection in non-Gaussian regression Baraud, Yannick. in Bernoulli (2010), 16(4), 1064--1085. Top of Page 2009 . Webb2 maj 2024 · We consider the Cauchy problem ( D ( k ) u ) ( t ) = λ u ( t ) , u ( 0 ) = 1 , where D ( k ) is the general convolutional derivative introduced in the paper (A. N. Kochubei, Integral Equations Oper. Theory 71 (2011), 583–600), λ > 0 . The solution is a generalization of the function t ↦ E α ( λ t α ) , where 0 < α < 1 , E α is the Mittag–Leffler function. The …
Probability Theory and Related Fields
WebbProbability Theory and Related Fields Article Article Published: July 1998 Integration with respect to fractal functions and stochastic calculus. I M. Zähle Probability Theory and … WebbWhile emphasizing the Poisson and related processes, their mathematical approach also covers the basic theory of random measures and various applications, especially to stochastic geometry. They assume a sound grounding in measure-theoretic probability, which is well summarized in two appendices (on measure and probability theory). buy house in miami fl
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WebbProbability Theory and Related Fields 102 , 367–391 ( 1995) Cite this article 2288 Accesses 354 Citations Metrics Summary We prove the existence of martingale … WebbThe techniques developed in this paper have potential to be extended to a wide class of models including the Ashkin-Teller model, continuum percolation models such as Voronoi percolation and Boolean percolation, super-level sets of massive Gaussian free field, and the random-cluster and Potts models with infinite range interactions. Webb12 apr. 2024 · Considering that a jointed rock mass in a cold area is often affected by periodic freeze–thaw cycles and shear failure, definitions for the mesoscopic and macroscopic damage to a jointed rock mass under the coupling of freeze–thaw and shear are proposed, and the damage mechanism is verified according to experimental … buy house in merced ca