On a scattering length for additive functionals and spectrum of fractional Laplacian with a non‐local perturbation
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DOI: 10.1002/mana.201800254
Abstract: In this paper we study the scattering length for positive additive functionals of symmetric stable processes on Rd . The additive functionals considered here are not necessarily continuous. We prove that the semi‐classical limit of… read more here.
Keywords: perturbation; scattering length; fractional laplacian; non local ... See more keywords
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees
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DOI: 10.1007/s00440-021-01095-9
Abstract: We give an invariance principle for very general additive functionals of conditioned Bienayme-Galton-Watson trees in the global regime when the offspring distribution lies in the domain of attraction of a stable distribution, the limit being… read more here.
Keywords: global regime; watson trees; galton watson; general additive ... See more keywords
Large deviation for additive functionals of symmetric Markov processes
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DOI: 10.1090/tran/8039
Abstract: In this paper, we establish a large deviation principle for pairs of continuous and purely discontinuous additive functionals of symmetric Borel right processes on Lusin spaces. We also establish compact embedding results for the extended… read more here.
Keywords: large deviation; additive functionals; functionals symmetric; markov processes ... See more keywords
Path independence of the additive functionals for McKean–Vlasov stochastic differential equations with jumps
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DOI: 10.1142/s0219025721500065
Abstract: In this paper, the path independent property of additive functionals of McKean–Vlasov stochastic differential equations with jumps is characterized by nonlinear partial integro-differential equations involving [Formula: see text]-derivatives with respect to probability measures introduced by… read more here.
Keywords: stochastic differential; additive functionals; mckean vlasov; vlasov stochastic ... See more keywords
Long time asymptotics of unbounded additive functionals of Markov processes
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DOI: 10.1214/17-ejp104
Abstract: Under hypercontractivity and $L_p$-integrability of transition density for some $p>1$, we use the perturbation theory of linear operators to obtain existence of long time asymptotics of exponentials of unbounded additive functionals of Markov processes and… read more here.
Keywords: time asymptotics; unbounded additive; additive functionals; markov processes ... See more keywords