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For:
Dembo A
, Mukherjee S.
Persistence of Gaussian processes: non-summable correlations.
Probab Theory Relat Fields
2017;
169
:1007-39. [DOI:
10.1007/s00440-016-0746-9
]
[
Citation(s) in
RCA
: 5
]
[
Impact Index Per Article: 0.6
]
[
Reference Citation Analysis
]
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[Indexed: 10/20/2022]
Number
Cited by Other Article(s)
1
Aurzada F
, Mukherjee S. Persistence probabilities of weighted sums of stationary Gaussian sequences.
Stoch Process Their Appl
2023. [DOI:
10.1016/j.spa.2023.02.003
]
[
Citation(s) in
RCA
: 0
]
[
Impact Index Per Article: 0
]
[
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[Indexed: 02/10/2023]
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2
Aurzada F
, Kilian M. Asymptotics of the Persistence Exponent of Integrated Fractional Brownian Motion and Fractionally Integrated Brownian Motion.
THEORY OF PROBABILITY AND ITS APPLICATIONS
2022. [DOI:
10.1137/s0040585x97t990769
]
[
Citation(s) in
RCA
: 1
]
[
Impact Index Per Article: 0.5
]
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[Indexed: 11/20/2022]
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3
Bhattacharya A
, Palmowski Z, Zwart B. Persistence of heavy-tailed sample averages: principle of infinitely many big jumps.
ELECTRON J PROBAB
2022. [DOI:
10.1214/22-ejp774
]
[
Citation(s) in
RCA
: 0
]
[
Impact Index Per Article: 0
]
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[Indexed: 11/19/2022]
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Affiliation(s)
Ayan Bhattacharya
Indian Institute of Technology Bombay, India
Zbigniew Palmowski
Wrocław University of Science and Technology
Bert Zwart
Centrum Wiskunde & Informatica
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4
Feldheim N
, Feldheim O, Nitzan S. Persistence of Gaussian stationary processes: A spectral perspective.
ANN PROBAB
2021. [DOI:
10.1214/20-aop1470
]
[
Citation(s) in
RCA
: 3
]
[
Impact Index Per Article: 1.0
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[Indexed: 11/19/2022]
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Affiliation(s)
Naomi Feldheim
Department of Mathematics, Bar-Ilan University
Ohad Feldheim
Einstein Institute for Mathematics, Hebrew University
Shahaf Nitzan
School of Mathematics, Georgia Institute of Technology
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5
Persistence probability of a random polynomial arising from evolutionary game theory.
J Appl Probab
2019. [DOI:
10.1017/jpr.2019.50
]
[
Citation(s) in
RCA
: 1
]
[
Impact Index Per Article: 0.2
]
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[Indexed: 11/07/2022]
Abstract
Abstract
We obtain an asymptotic formula for the persistence probability in the positive real line of a random polynomial arising from evolutionary game theory. It corresponds to the probability that a multi-player two-strategy random evolutionary game has no internal equilibria. The key ingredient is to approximate the sequence of random polynomials indexed by their degrees by an appropriate centered stationary Gaussian process.
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