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A Max-Type Recursive Model : Some Properties and Open Questions. / Chen, Xinxing; Derrida, Bernard; Hu, Yueyun; Lifshits, Mikhail; Shi, Zhan.
Sojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman. ed. / Vladas Sidoravicius. Springer Nature, 2019. p. 166-186 (Springer Proceedings in Mathematics and Statistics; Vol. 300).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Harvard
Chen, X, Derrida, B, Hu, Y
, Lifshits, M & Shi, Z 2019,
A Max-Type Recursive Model: Some Properties and Open Questions. in V Sidoravicius (ed.),
Sojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman. Springer Proceedings in Mathematics and Statistics, vol. 300, Springer Nature, pp. 166-186, International Conference on Probability Theory and Statistical Physics, 2016, Shanghai, China,
25/03/16.
https://doi.org/10.1007/978-981-15-0302-3_6APA
Chen, X., Derrida, B., Hu, Y.
, Lifshits, M., & Shi, Z. (2019).
A Max-Type Recursive Model: Some Properties and Open Questions. In V. Sidoravicius (Ed.),
Sojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman (pp. 166-186). (Springer Proceedings in Mathematics and Statistics; Vol. 300). Springer Nature.
https://doi.org/10.1007/978-981-15-0302-3_6Vancouver
Author
Chen, Xinxing ; Derrida, Bernard ; Hu, Yueyun
; Lifshits, Mikhail ; Shi, Zhan. /
A Max-Type Recursive Model : Some Properties and Open Questions. Sojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman. editor / Vladas Sidoravicius. Springer Nature, 2019. pp. 166-186 (Springer Proceedings in Mathematics and Statistics).
BibTeX
@inproceedings{0d14804e85ca44019b8a0f0a3146a3e9,
title = "A Max-Type Recursive Model: Some Properties and Open Questions",
abstract = "We consider a simple max-type recursive model which was introduced in the study of depinning transition in presence of strong disorder, by Derrida and Retaux [5]. Our interest is focused on the critical regime, for which we study the extinction probability, the first moment and the moment generating function. Several stronger assertions are stated as conjectures.",
keywords = "Critical regime, Free energy, Max-type recursive model, Survival probability",
author = "Xinxing Chen and Bernard Derrida and Yueyun Hu and Mikhail Lifshits and Zhan Shi",
note = "Funding Information: X. C. was supported by NSFC grants Nos. 11771286 and 11531001. M. L. was supported by RFBR grant 16-01-00258. Part of the work was carried out when M. L. and Z. S. were visiting, respectively, LPMA Universit? Pierre et Marie Curie in June and July 2016, and New York University Shanghai in spring 2016; we are grateful to LPMA and NYUSH for their hospitality. Funding Information: Acknowledgments. X. C. was supported by NSFC grants Nos. 11771286 and 11531001. M. L. was supported by RFBR grant 16-01-00258. Part of the work was carried out when M. L. and Z. S. were visiting, respectively, LPMA Universit{\'e} Pierre et Marie Curie in June and July 2016, and New York University Shanghai in spring 2016; we are grateful to LPMA and NYUSH for their hospitality. Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2019. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Probability Theory and Statistical Physics, 2016 ; Conference date: 25-03-2016 Through 27-03-2016",
year = "2019",
doi = "10.1007/978-981-15-0302-3_6",
language = "English",
isbn = "9789811503016",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer Nature",
pages = "166--186",
editor = "Vladas Sidoravicius",
booktitle = "Sojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman",
address = "Germany",
}
RIS
TY - GEN
T1 - A Max-Type Recursive Model
T2 - International Conference on Probability Theory and Statistical Physics, 2016
AU - Chen, Xinxing
AU - Derrida, Bernard
AU - Hu, Yueyun
AU - Lifshits, Mikhail
AU - Shi, Zhan
N1 - Funding Information:
X. C. was supported by NSFC grants Nos. 11771286 and 11531001. M. L. was supported by RFBR grant 16-01-00258. Part of the work was carried out when M. L. and Z. S. were visiting, respectively, LPMA Universit? Pierre et Marie Curie in June and July 2016, and New York University Shanghai in spring 2016; we are grateful to LPMA and NYUSH for their hospitality.
Funding Information:
Acknowledgments. X. C. was supported by NSFC grants Nos. 11771286 and 11531001. M. L. was supported by RFBR grant 16-01-00258. Part of the work was carried out when M. L. and Z. S. were visiting, respectively, LPMA Université Pierre et Marie Curie in June and July 2016, and New York University Shanghai in spring 2016; we are grateful to LPMA and NYUSH for their hospitality.
Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2019.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
N2 - We consider a simple max-type recursive model which was introduced in the study of depinning transition in presence of strong disorder, by Derrida and Retaux [5]. Our interest is focused on the critical regime, for which we study the extinction probability, the first moment and the moment generating function. Several stronger assertions are stated as conjectures.
AB - We consider a simple max-type recursive model which was introduced in the study of depinning transition in presence of strong disorder, by Derrida and Retaux [5]. Our interest is focused on the critical regime, for which we study the extinction probability, the first moment and the moment generating function. Several stronger assertions are stated as conjectures.
KW - Critical regime
KW - Free energy
KW - Max-type recursive model
KW - Survival probability
UR - http://www.scopus.com/inward/record.url?scp=85085732115&partnerID=8YFLogxK
U2 - 10.1007/978-981-15-0302-3_6
DO - 10.1007/978-981-15-0302-3_6
M3 - Conference contribution
AN - SCOPUS:85085732115
SN - 9789811503016
T3 - Springer Proceedings in Mathematics and Statistics
SP - 166
EP - 186
BT - Sojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman
A2 - Sidoravicius, Vladas
PB - Springer Nature
Y2 - 25 March 2016 through 27 March 2016
ER -
