ASYMPTOTIC SHAPE AND THE SPEED OF PROPAGATION OF CONTINUOUS-TIME CONTINUOUS-SPACE BIRTH PROCESSES

被引：7

作者：

Bezborodov, Viktor ^{[1
]}

Di Persio, Luca ^{[1
]}

Krueger, Tyll ^{[2
,4
]}

Lebid, Mykola ^{[3
]}

Ozanski, Tomasz ^{[2
,4
]}

机构：

[1] Univ Verona, Dept Comp Sci, Str Grazie 15, I-37134 Verona, Italy

[2] Univ Wroclaw, Wroclaw, Poland

[3] Swiss Fed Inst Technol, Dept Biosyst Sci & Engn, D BSSE, Mattenstr 26, CH-4058 Basel, Switzerland

[4] Wroclaw Univ Technol, Dept Comp Sci & Engn, Janiszewskiego 15, PL-50372 Wroclaw, Poland

来源：

ADVANCES IN APPLIED PROBABILITY | 2018年 / 50卷 / 01期

关键词：

Shape theorem; spatial birth process; growth model; 1ST-PASSAGE PERCOLATION; GROWTH; MODEL; THEOREM;

D O I：

10.1017/apr.2018.5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We formulate and prove a shape theorem for a continuous-time continuous-space stochastic growth model under certain general conditions. Similar to the classical lattice growth models, the proof makes use of the subadditive ergodic theorem. A precise expression for the speed of propagation is given in the case of a truncated free-branching birth rate.

引用

页码：74 / 101

页数：28

共 50 条

[21] On continuous-time Markov processes in bargaining
Houba, Harold
ECONOMICS LETTERS, 2008, 100 (02) : 280 - 283
[22] Capacity of the continuous-space electromagnetic channel
Jensen, Michael A.
Wallace, Jon W.
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2008, 56 (02) : 524 - 531
[23] Stochastic ordering for continuous-time processes
Irle, A
JOURNAL OF APPLIED PROBABILITY, 2003, 40 (02) : 361 - 375
[24] The predictability of continuous-time, bandlimited processes
Lyman, RJ
Edmonson, WW
McCullough, S
Rao, M
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (02) : 311 - 316
[25] Continuous-Time Functional Diffusion Processes
Franzese, Giulio
Corallo, Giulio
Rossi, Simone
Heinonen, Markus
Filippone, Maurizio
Michiardi, Pietro
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
[26] Continuous-time monitoring of queueing processes
Kuang, Yanqing
Xu, Ruiyu
Wu, Jianguo
Das, Devashish
Sir, Mustafa
Pasupathy, Kalyan
FLEXIBLE SERVICES AND MANUFACTURING JOURNAL, 2025,
[27] A CLASS OF FRACTIONAL CONTINUOUS-TIME PROCESSES
DENIAU, C
VIANO, MC
OPPENHEIM, G
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (04): : 451 - 454
[28] CONTINUOUS-TIME CONTROLLED BRANCHING PROCESSES
del Puerto, Ines M.
Yanev, George P.
Molina, Manuel
Yanev, Nikolay M.
Gonzalez, Miguel
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2021, 74 (03): : 332 - 342
[29] An Introduction to Continuous-Time Stochastic Processes
Pascu, Mihai
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 52 (05): : 597 - 598
[30] CONTINUOUS-TIME FRACTIONAL ARMA PROCESSES
VIANO, MC
DENIAU, C
OPPENHEIM, G
STATISTICS & PROBABILITY LETTERS, 1994, 21 (04) : 323 - 336

← 1 2 3 4 5 →