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Dudin, Alexander (ed.) et al., Information technologies and mathematical modelling. Queueing theory and applications. 21st international conference, ITMM 2022, Karshi, Uzbekistan, October 25–29, 2022. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1803, 92-105 (2023).

MSC: 60K25 68M20 90B22 60J80

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Imomov, Azam A.; Nazarov, Zuhriddin A.

Limit theorems for the positive recurrent Q-process. (English) Zbl 1533.60137

MSC: 60J80 60J10 60F05

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Meng, Weiwei; Xi, Chengxun

The properties of quadratic weighted Markov branching processes with immigration and instantaneous resurrection. (Chinese. English summary) Zbl 07809951

Chin. J. Appl. Probab. Stat. 39, No. 5, 711-729 (2023).

MSC: 60J80 60J27

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Hong, Wenming; Yao, Dan

Conditional central limit theorem for subcritical branching random walk. (English) Zbl 1532.60173

ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 2, 1411-1432 (2023).

MSC: 60J80 60F10

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Chen, Xinxin; He, Hui; Mallein, Bastien

Branching Brownian motion conditioned on small maximum. (English) Zbl 1532.60172

ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 2, 905-940 (2023).

Reviewer: Matthias Meiners (Gießen)

MSC: 60J80 60F10 60G55

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Friesen, Martin; Jin, Peng; Kremer, Jonas; Rüdiger, Barbara

Exponential ergodicity for stochastic equations of nonnegative processes with jumps. (English) Zbl 1536.60084

ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 593-627 (2023).

Reviewer: Bastien Mallein (Toulouse)

MSC: 60J80 60J25 60G10 60F17 60H20

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Grigutis, Andrius; Jankauskas, Jonas; Šiaulys, Jonas

Multiseasonal discrete-time risk model revisited. (English) Zbl 07796573

Lith. Math. J. 63, No. 4, 466-486 (2023).

Reviewer: Tak Kuen Siu (Sydney)

MSC: 60G50 60J80 91G05

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Tough, Oliver

Scaling limit of the Fleming-Viot multicolor process. (English) Zbl 07795624

Ann. Probab. 51, No. 6, 2345-2386 (2023).

MSC: 60K35 60J80 92D15

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Bansaye, Vincent; Gu, Chenlin; Yuan, Linglong

A growth-fragmentation-isolation process on random recursive trees and contact tracing. (English) Zbl 1530.60064

Ann. Appl. Probab. 33, No. 6B, 5233-5278 (2023).

MSC: 60J27 60J85 60J80

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Johnston, Samuel G. G.; Lambert, Amaury

The coalescent structure of uniform and Poisson samples from multitype branching processes. (English) Zbl 1538.60139

Ann. Appl. Probab. 33, No. 6A, 4820-4857 (2023).

MSC: 60J90 60G09 60G55 60J80

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Blancas, Airam; Gufler, Stephan; Kliem, Sandra; Viet Chi Tran; Wakolbinger, Anton

Evolving genealogies for branching populations under selection and competition. (English) Zbl 1530.60080

Ann. Appl. Probab. 33, No. 6A, 4528-4569 (2023).

MSC: 60J80 60K35 92D10 92D25

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Onaran, Efe; Bobrowski, Omer; Adler, Robert J.

Functional central limit theorems for local statistics of spatial birth-death processes in the thermodynamic regime. (English) Zbl 1538.60137

Ann. Appl. Probab. 33, No. 5, 3958-3986 (2023).

MSC: 60J80 60G55 60F05 60D05 05C80

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Fan, Xiequan; Shao, Qi-Man

Self-normalized Cramér moderate deviations for a supercritical Galton-Watson process. (English) Zbl 1535.60049

J. Appl. Probab. 60, No. 4, 1281-1292 (2023).

Reviewer: Isamu Dôku (Saitama)

MSC: 60F10 60J80 62F12 62F03

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Zhizhina, E. A.; Pirogov, S. A.

Invariant measures for contact processes with state-dependent birth and death rates. (English. Russian original) Zbl 1530.92198

Probl. Inf. Transm. 59, No. 2, 128-145 (2023); translation from Probl. Peredachi Inf. 59, No. 2, 63-82 (2023).

MSC: 92D25 60J85

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Coletti, Cristian F.; Marić, Nevena; Rodriguez, Pablo M.

On the role of reduced habitat in the phase transition of a stochastic model for seed dispersal. (English) Zbl 1529.60059

Math. Methods Appl. Sci. 46, No. 9, 10540-10553 (2023).

MSC: 60J80 60J85 92D25

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Kargin, Vladislav

Scaling limits of slim and fat trees. (English) Zbl 1527.05037

J. Theor. Probab. 36, No. 4, 2192-2228 (2023).

MSC: 05C05 05C80 60C05 60J80

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Buraczewski, Dariusz; Dong, Congzao; Iksanov, Alexander; Marynych, Alexander

Critical branching processes in a sparse random environment. (English) Zbl 1534.60118

Mod. Stoch., Theory Appl. 10, No. 4, 397-411 (2023).

Reviewer: Heinrich Hering (Rockenberg)

MSC: 60J80 60F05

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Vatutin, V. A.; Dyakonova, E. E.

Population size of a critical branching process evolving in an unfavorable environment. (English. Russian original) Zbl 1527.60069

Theory Probab. Appl. 68, No. 3, 411-430 (2023); translation from Teor. Veroyatn. Primen. 68, No. 3, 509-531 (2023).

MSC: 60J80 60F17 60G50

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Diao, Jiahao

Mechanistic Markov models for the evolution of gene families. (Abstract of thesis). (English) Zbl 1526.60002

Bull. Aust. Math. Soc. 108, No. 3, 513-515 (2023).

MSC: 60-02 60J20 60J80 92D10

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Kudratov, Kh.; Khusanbaev, Ya.

Some limit theorems for the critical Galton-Watson branching processes. (English) Zbl 1527.60067

Ukr. Math. J. 75, No. 4, 535-546 (2023); and Ukr. Mat. Zh. 75, No. 4, 467-477 (2023).

Reviewer: Matthias Meiners (Gießen)

MSC: 60J80

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Zhang, Meijuan; Bi, Hangda; Zhang, Xiaoyue

Conceptual proofs of conditional limit theorems for critical Galton-Watson processes. (Chinese. English summary) Zbl 1538.60138

Chin. Ann. Math., Ser. A 44, No. 1, 39-56 (2023).

MSC: 60J80

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Mayster, Penka; Tchorbadjieff, Assen

Extended Sibuya distribution in subcritical Markov branching processes. (English) Zbl 1538.60136

C. R. Acad. Bulg. Sci. 76, No. 4, 517-524 (2023).

Reviewer: Angela Slavova (Sofia)

MSC: 60J80 60E05

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Foucart, Clément; Zhou, Xiaowen

On the boundary classification of \(\Lambda\)-Wright-Fisher processes with frequency-dependent selection. (Sur la classification des points frontières des processus de \(\Lambda\)-Wright-Fisher avec sélection dépendante de la fréquence.) (English. French summary) Zbl 1521.60053

Ann. Henri Lebesgue 6, 493-539 (2023).

MSC: 60J90 60J70 60J80 92D25

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Lu, Dawei; Lv, Huangding

A Galton-Watson process with a threshold at 1 and an immigration at 0. (English) Zbl 1521.60051

Stat. Probab. Lett. 201, Article ID 109881, 12 p. (2023).

MSC: 60J80

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Caputo, Pietro; Quattropani, Matteo; Sau, Federico

Cutoff for the averaging process on the hypercube and complete bipartite graphs. (English) Zbl 1533.60127

Electron. J. Probab. 28, Paper No. 100, 31 p. (2023).

MSC: 60J27 60J10 60K35 60J80

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Boucherie, Richard J.

On the cycle maximum of birth-death processes and networks of queues. (English) Zbl 1524.60229

Indag. Math., New Ser. 34, No. 5, 1064-1076 (2023).

MSC: 60K25 90B22 60K20

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Chazottes, J.-R.; Collet, P.; Méléard, S.

Large population limit of the spectrum of killed birth-and-death processes. (English) Zbl 07729949

J. Funct. Anal. 285, No. 9, Article ID 110092, 45 p. (2023).

Reviewer: Shao-Xia Qiao (Kaifeng)

MSC: 92D25 60J80 47N60

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Rubenthaler, Sylvain

A central limit theorem for conservative fragmentation chains. (English) Zbl 1527.60068

J. Appl. Probab. 60, No. 3, 1031-1068 (2023).

Reviewer: Isamu Dôku (Saitama)

MSC: 60J80 60F05

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Chen, Shukai; Li, Zenghu

Strong Feller and ergodic properties of the \((1+1)\)-affine process. (English) Zbl 1526.60048

J. Appl. Probab. 60, No. 3, 812-834 (2023).

Reviewer: Isamu Dôku (Saitama)

MSC: 60J80 60J85 60H15

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Chen, Anyue; Chen, Yong; Gao, Wu-Jun; Wu, Xiaohan

Sturm-Liouville theory and decay parameter for quadratic Markov branching processes. (English) Zbl 1520.60051

J. Appl. Probab. 60, No. 3, 737-764 (2023).

MSC: 60J80 60J27

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Friesen, Martin

Long-time behavior for subcritical measure-valued branching processes with immigration. (English) Zbl 1520.60052

Potential Anal. 59, No. 2, 705-730 (2023).

MSC: 60J80 60J68 60B10

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Fontana, Claudio; Gnoatto, Alessandro; Szulda, Guillaume

CBI-time-changed Lévy processes. (English) Zbl 1517.60050

Stochastic Processes Appl. 163, 323-349 (2023).

MSC: 60G51 91G20 91G30 60H20 60J25 60G44 60J80

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Ji, Lina; Xiong, Jie; Yang, Xu

Well-posedness of the martingale problem for super-Brownian motion with interactive branching. (English) Zbl 1520.60032

Stochastic Processes Appl. 163, 288-322 (2023).

Reviewer: Pavel Stoynov (Sofia)

MSC: 60H15 60J65 60J80

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Tchorbadjieff, Assen; Mayster, Penka

Wright function in the solution to the Kolmogorov equation of the Markov branching process with geometric reproduction of particles. (English) Zbl 1519.60109

Lith. Math. J. 63, No. 2, 223-240 (2023).

MSC: 60J80 11B83 33C20 33E20

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Bitseki Penda, S. Valère; Delmas, Jean-François

Central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models. (English) Zbl 07722782

J. Theor. Probab. 36, No. 3, 1591-1625 (2023).

MSC: 62G05 62G07 62G20 60J80 60F05

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Found 3,291 Documents (Results 1–100)

Scaling limit of the local time of random walks conditioned to stay positive. (English) Zbl 07925107

On the Kolmogorov constant explicit form in the theory of discrete-time stochastic branching systems. (English) Zbl 07925100

Speed of extinction for continuous-state branching processes in a weakly subcritical Lévy environment. (English) Zbl 07925098

Boolean percolation on digraphs and random exchange processes. (English) Zbl 07925090

The critical tree of a renormalization model as a growth-fragmentation process. (English. French summary) Zbl 07923686

Multi-colour competition with reinforcement. (English. French summary) Zbl 07923680

Quasi-stationary distribution for continuous-state branching processes with competition. (English) Zbl 07923232

Boundary behaviors for a continuous-state nonlinear Neveu’s branching process. (English) Zbl 07914962

Precise asymptotics in limit theorems for a supercritical branching process with immigration in a random environment. (English) Zbl 07914955

Uniqueness problem for the backward differential equation of a continuous-state branching process. (English) Zbl 07914953

On integrals of birth-death processes at random time. (English) Zbl 07913933

Branching processes with immigration in a random environment – the Grincevičius-Grey setup. (English) Zbl 07913928

A Bertalanffy-Richards growth model perturbed by a time-dependent pattern, statistical analysis and applications. (English) Zbl 07912555

Critical branching processes evolving in a unfavorable random environment. (English. Russian original) Zbl 07908437

On the spine of the two-particle Fleming-Viot process driven by Brownian motion. (English) Zbl 07905731

Alpha-stable branching and beta-frequency processes, beyond the IID assumption. (English) Zbl 07905725

Reinforced Galton-Watson processes. I: Malthusian exponents. (English) Zbl 07904972

A branching process with deletions and mergers that matches the threshold for hypercube percolation. (English. French summary) Zbl 07904838

Concentration of quasi-stationary distributions for one-dimensional diffusions with applications. (English. French summary) Zbl 07904818

Stable trees as mixings of inhomogeneous continuum random trees. (English) Zbl 07904807

Uniform Cramér moderate deviations and Berry-Esseen bounds for superadditive bisexual branching processes in random environments. (English) Zbl 07901310

Large population asymptotics for a multitype stochastic SIS epidemic model in randomly switching environment. (English) Zbl 07900406

Invasion percolation on power-law branching processes. (English) Zbl 07900404

Diffusion approximations for self-excited systems with applications to general branching processes. (English) Zbl 07900396

Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes. (English) Zbl 07889243

Occupation times for age-structured branching processes. (English) Zbl 07888220

Complete left tail asymptotic for the density of branching processes in the Schröder case. (English) Zbl 07882013

Normal approximation for a randomly indexed branching process. (English) Zbl 07878709

Coalescence times for critical Galton-Watson processes with immigration. (English) Zbl 07878533

A universal right tail upper bound for supercritical Galton-Watson processes with bounded offspring. (English) Zbl 07878501

Speed of extinction for continuous state branching processes in subcritical Lévy environments: the strongly and intermediate regimes. (English) Zbl 07873664

Subtractive random forests. (English) Zbl 1540.60015

A branching stochastic evolutionary model of the B-cell repertoire. (English) Zbl 07873581

Phase states aggregation of random walk on a multidimensional lattice. (English. Russian original) Zbl 1540.60083

Harmonic moments and large deviations for the Markov branching process with immigration. (English) Zbl 1541.60016

The structure of the local time of Markov processes indexed by Lévy trees. (English) Zbl 07859940

Weakly supercritical branching process in unfavourable environment. (English. Russian original) Zbl 07858817

The spine of the Fleming-Viot process driven by Brownian motion. (English) Zbl 07856571

The extremal point process of branching Brownian motion in \(\mathbb{R}^d \). (English) Zbl 07856570

Branching processes in random environments with thresholds. (English) Zbl 1540.60189

Large deviations for sums associated with supercritical branching process in a random environment. (English) Zbl 1539.60117

Tessellation-valued processes that are generated by cell division. (English) Zbl 1537.60018

Weak convergence of the extremes of branching Lévy processes with regularly varying tails. (English) Zbl 1540.60193

Quenched weighted moments for a branching process with immigration in a random environment. (English) Zbl 1537.60115

Markov branching random walks on \(\mathbb{Z}_+\): an approach using orthogonal polynomials. I. (English. Russian original) Zbl 1540.60191

On the stochastic engine of contagious diseases in exponentially growing populations. (English) Zbl 1536.92137

A branching process with coalescence to model random phylogenetic networks. (English) Zbl 1536.60081

Extinction behavior and recurrence of \(n\)-type Markov branching-immigration processes. (English) Zbl 1541.60072

Berry-Esseen bound and Cramér moderate deviation expansion for a supercritical branching random walk. (English) Zbl 1541.60070

Maximal displacement of spectrally negative branching Lévy processes. (English) Zbl 1536.60087

Fleming-Viot couples live forever. (English) Zbl 07819907

Lipschitzian norms and functional inequalities for birth-death processes. (English) Zbl 1536.60086

Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees. (English) Zbl 1534.60120

A stochastic target problem for branching diffusion processes. (English) Zbl 1534.35458

Limit theorems for critical Galton-Watson processes with immigration stopped at zero. (English) Zbl 07806025

On the inequalities for moments of branching random processes. (English. Russian original) Zbl 1535.60138

Weakly supercritical branching process in a random environment dying at a distant moment. (English. Russian original) Zbl 1534.60117

An infinite-dimensional representation of the Ray-Knight theorems. (English) Zbl 1530.60071

Continuous-state branching processes with collisions: first passage times and duality. (English) Zbl 1530.60081

On functional limit theorems for branching processes with dependent immigration. (English) Zbl 07896792

A simple finite delayed multi-type branching process for infectious disease modeling. (English) Zbl 1539.60115

Limit theorems for a supercritical branching process with immigration at zero in a random environment. (English) Zbl 1540.60194

Moment properties for two-type continuous-state branching processes in Lévy random environments. (English) Zbl 07850862

Excursions of Markov processes: a large deviation approach. (English) Zbl 1539.60025

A Markov chain model to investigate the spread of antibiotic-resistant bacteria in hospitals. (English) Zbl 1533.92198

Account of disasters in analysis of queueing systems modeled by the quasi-birth-and-death-process. (English) Zbl 1533.60145

Limit theorems for the positive recurrent Q-process. (English) Zbl 1533.60137

The properties of quadratic weighted Markov branching processes with immigration and instantaneous resurrection. (Chinese. English summary) Zbl 07809951

Conditional central limit theorem for subcritical branching random walk. (English) Zbl 1532.60173

Branching Brownian motion conditioned on small maximum. (English) Zbl 1532.60172

Exponential ergodicity for stochastic equations of nonnegative processes with jumps. (English) Zbl 1536.60084

Multiseasonal discrete-time risk model revisited. (English) Zbl 07796573

Scaling limit of the Fleming-Viot multicolor process. (English) Zbl 07795624