Anna Talarczyk: Bifractional Brownian motion for H>1 and 2HK\le 1, Statist. Probab. Lett. 157 (2020), 108628
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arxiv
Limic, Vlada; Talarczyk, Anna. Diffusion limits at small times for Λ-coalescents with a Kingman component. Electron. J. Probab. 20 (2015), no. 45, 20 pp.
journal -
arxiv
Limic, Vlada; Talarczyk, Anna. Second-order asymptotics for the block counting process in a class of regularly varying Lambda-coalescents.
Ann. Probab. 43 (2015), no. 3, 1419–1455.
journal -
arxiv
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. From intersection local time to the Rosenblatt process. J. Theor. Probab.em> 28 (2015), no. 3, 1227-1249.
journal -
arxiv
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna.
Oscillatory Fractional Brownian Motion and Hierarchical Random Walks. Acta Applicandae Mathematicae
127 (2013) no. 1, 193-215.
journal -
arxiv
Bojdecki, Tomasz; Talarczyk, Anna. Particle picture interpretation of some Gaussian processes related to
fractional Brownian motion.
Stochastic Process. Appl. 122 (2012), no. 5, 2134--2154. MR2921975
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Number variance for hierarchical random walks and related
fluctuations.
Electron. J. Probab. 16 (2011), no. 75, 2059--2079. MR2851056
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Particle systems with quasi-homogeneous initial states and their
occupation time fluctuations.
Electron. Commun. Probab. 15 (2010), 191--202. MR2653724
Peszat, Szymon; Talarczyk, Anna. Functional central limit theorem for additive functionals of
$\alpha$-stable processes.
Potential Anal. 33 (2010), no. 2, 199--209. MR2658982
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Occupation times of branching systems with initial inhomogeneous
Poisson states and related superprocesses.
Electron. J. Probab. 14 (2009), no. 46, 1328--1371. MR2511286
Talarczyk, Anna. A functional ergodic theorem for the occupation time process of a
branching system.
Statist. Probab. Lett. 78 (2008), no. 7, 847--853. MR2398358
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. Occupation time limits of inhomogeneous Poisson systems of independent
particles.
Stochastic Process. Appl. 118 (2008), no. 1, 28--52. MR2376251
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Self-similar stable processes arising from high-density limits of
occupation times of particle systems.
Potential Anal. 28 (2008), no. 1, 71--103. MR2366400
Talarczyk, Anna. Particle picture approach to the self-intersection local time of
branching density processes in $\scr S'(\Bbb R^ d)$.
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (2007), no. 3, 439--464. MR2355811
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Some extensions of fractional Brownian motion and sub-fractional
Brownian motion related to particle systems.
Electron. Comm. Probab. 12 (2007), 161--172 (electronic). MR2318163
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. A long range dependence stable process and an infinite variance
branching system.
Ann. Probab. 35 (2007), no. 2, 500--527. MR2308586
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Occupation time fluctuations of an infinite-variance branching system
in large dimensions.
Bernoulli 13 (2007), no. 1, 20--39. MR2307392
Brydges, David; Talarczyk, Anna. Finite range decompositions of positive-definite functions.
J. Funct. Anal. 236 (2006), no. 2, 682--711. MR2240180
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. Limit theorems for occupation time fluctuations of branching systems.
II. Critical and large dimensions.
Stochastic Process. Appl. 116 (2006), no. 1, 19--35. MR2186102
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. Limit theorems for occupation time fluctuations of branching systems.
I. Long-range dependence.
Stochastic Process. Appl. 116 (2006), no. 1, 1--18. MR2186101
Bojdecki, Tomasz; Talarczyk, Anna. Particle picture approach to the self-intersection local time of
density processes in $\scr S'(\Bbb R^ d)$.
Stochastic Process. Appl. 115 (2005), no. 3, 449--479. MR2118288
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna. Sub-fractional Brownian motion and its relation to occupation
times.
Statist. Probab. Lett. 69 (2004), no. 4, 405--419. MR2091760
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. Fractional Brownian density process and its self-intersection local
time of order $k$.
J. Theoret. Probab. 17 (2004), no. 3, 717--739. MR2091558
Talarczyk, Anna. A note on covariance characterization of some generalized Gaussian
random fields.
Stochastic models (Mexico City, 2002),
253--258, Contemp. Math., 336, Amer. Math. Soc., Providence, RI, 2003. MR2037170
Talarczyk, Anna. Divergence results for self-intersection local times of Gaussian $\scr
S'(\Bbb R^ d)$-processes.
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 4 (2001), no. 4, 417--488. MR1876158
Talarczyk, Anna. Self-intersection local time of order $k$ for Gaussian processes in
$\scr S'(\Bbb R^ d)$.
Stochastic Process. Appl. 96 (2001), no. 1, 17--72. MR1856680
Talarczyk, Anna. Dirichlet problem for parabolic equations on Hilbert spaces.
Studia Math. 141 (2000), no. 2, 109--142. MR1783948