Universität Bonn

Junior Trimester Program: "Stochastics"


September - December 2010

Description: The Junior Hausdorff Trimester Program gave young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research in Stochastics.
 
The research topics included:

  • Disordered Systems and Extreme Value Theory (Group A)
  • Probabilistic Aspects of Rough Paths (Group B)
  • Existence, Uniqueness, and Regularity for Semilinear Stochastic Wave Equations (Group C)

Associated Events: 

  • Trimester Seminar
  • Workshop: Disordered systems and extreme value statistics
  • Lecture Series

Publications

No. Author(s) Title Preprint Publication
2010c01 Cohen, D.; Sigg, M. Convergence analysis of trigonometric methods for stiff second-order stochastic differential equations pdf Numer. Math. 121(1) (2012), 1–29.
https://doi.org/10.1007/s00211-011-0426-8
2010c02 Cohen, D. On the numerical discretisation of stochastic oscillators - Math. Comput. Simulation. 82(8) (2012), 1478–1495.
https://doi.org/10.1016/j.matcom.2012.02.004
2010c03 Blath, J.; Kurt, N. Survival and extinction of caring double-branching annihilating random walk pdf Electron. Commun. Probab. 16 (2011), 271–282.
https://doi.org/10.1214/ECP.v16-1631
2010c04 Dhersin, J-S.; Freund, F.; Siri-Jégousse, A.; Yuan, L. On the length of an external branch in the beta-coalescent 1201.3983 Stochastic Process. Appl. 123(5) (2013), 1691–1715.
https://doi.org/10.1016/j.spa.2012.12.010
2010c05 Depperschmidt, A.; Greven, A.; Pfaffelhuber, P. Marked metric measure spaces 1101.4213 Electron. Commun. Probab. 16 (2011), 174–188.
https://doi.org/10.1214/ECP.v16-1615
2010c06 Depperschmidt, A.; Greven, A.; Pfaffelhuber, P. Tree-valued Fleming-Viot dynamics with mutation and selection 1101.0759 Ann. Appl. Probab. 22(6) (2012), 2560–2615.
https://doi.org/10.1214/11-AAP831
2010c07 Bovier, A.; Gayrard, V.; Švejda, A. Convergence to extremal processes in random environments and extremal ageing in SK models 1201.2059 Probab. Theory Related Fields. 157(1-2) (2013), 251–283.
https://doi.org/10.1007/s00440-012-0456-x
2010c08 Fontes, L. R. G.; Gava, R. J.; Gayrard, V. The K-process on a tree as a scaling limit of the GREM-like trap model 1202.4104 Ann. Appl. Probab. 24(2) (2014), 857–897.
https://doi.org/10.1214/13-AAP937
2010c09 Bezerra, S. C.; Fontes, L. R. G.; Gava, R. J.; Gayrard, V.; Mathieu, P. Scaling limits and aging for asymmetric trap models on the complete graph and K processes 1202.4101 ALEA Lat. Am. J. Probab. Math. Stat. 9(2) (2012), 303–321.
https://alea.impa.br/articles/v9/09-13.pdf
2010c10 Aistleitner, C.; Hörmann, S. Upper and lower class separating sequences for Brownian motion with random argument pdf Probab. Math. Statist. 31(2) (2011), 183–202.
LINK
2010c11 Aistleitner, C. Covering numbers, dyadic chaining and discrepancy pdf J. Complexity. 27(6) (2011), 531–540.
https://doi.org/10.1016/j.jco.2011.03.001
2010c12 Aistleitner, C. Convergence of ∑ ck f(k x) and the Lip α class pdf Proc. Amer. Math. Soc. 140(11) (2012), 3893–3903.
https://doi.org/10.1090/S0002-9939-2012-11237-7
2010c13 Aistleitner, C.; Fukuyama, K. On the law of the iterated logarithm for trigonometric series with bounded gaps - Probab. Theory Related Fields. 154(3-4) (2012), 607–620.
https://doi.org/10.1007/s00440-011-0378-z
2010c14 Aistleitner, C.; Elsholtz, C. The central limit theorem for subsequences in probabilistic number theory - Canad. J. Math. 64(6) (2012), 1201–1221.
https://doi.org/10.4153/CJM-2011-074-1
2010c15 Arguin, L-P.; Bovier, A.; Kistler, N. Poissonian statistics in the extremal process of branching Brownian motion 1010.2376 Ann. Appl. Probab. 22(4) (2012), 1693–1711.
https://doi.org/10.1214/11-AAP809
2010c16 Arguin, L-P.; Bovier, A.; Kistler, N. The extremal process of branching Brownian motion 1103.2322 Probab. Theory Related Fields. 157(3-4) (2013), 535–574.
https://doi.org/10.1007/s00440-012-0464-x
2010c17 Arguin, L-P.; Damron, M. Short-range spin glasses and random overlap structures 1010.2677 J. Stat. Phys. 143(2) (2011), 226–250.
https://doi.org/10.1007/s10955-011-0177-z
2010c18 Kabluchko, Z. The maximum of the Gaussian 1/fα-noise in the case α<1 1010.1902  
2010c19 Kabluchko, Z. Persistence of competing systems of branching random walks 1103.5865  
2010c20 Klimovsky, A. High-dimensional Gaussian fields with isotropic increments seen through spin glasses 1108.5300 Electron. Commun. Probab. 17 (2012), 1-14.
https://doi.org/10.1214/ECP.v17-1994
2010c21 Arguin, L-P.; Zindy, O. Poisson-Dirichlet statistics for the extremes of a log-correlated Gaussian field 1203.4216 Ann. Appl. Probab. 24(4) (2014), 1446–1481.
https://doi.org/10.1214/13-AAP952
2010c22 Marinelli, C.; Nualart, E.; Quer-Sardanyons, L. Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs 1202.4610 Potential Anal. 39(3) (2013), 287–311.
https://doi.org/10.1007/s11118-012-9330-9
2010c23 Nualart, E.; Quer-Sardanyons, L. Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension 1010.2155 Stochastic Process. Appl. 122(1) (2012), 418–447.
https://doi.org/10.1016/j.spa.2011.08.013
2010c24 Armendáriz, I.; Grosskinsky, S.; Loulakis, M. Zero-range condensation at criticality 0912.1793 Stochastic Process. Appl. 123(9) (2013), 3466–3496.
https://doi.org/10.1016/j.spa.2013.04.021
2010c25 Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P. Linear quadratic mean field games pdf J. Optim. Theory Appl. 169(2) (2016), 496–529.
https://doi.org/10.1007/s10957-015-0819-4
2010c26 Yam, S. C. P.; Yung, S. P.; Zhou, W. Game call options revisited pdf Math. Finance. 24(1) (2014), 173–206.
https://doi.org/10.1111/mafi.12000
2010c27 Cheung, K. C.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P. Optimal reinsurance under general law-invariant risk measures - Scand. Actuar. J. 2014(1) (2014), 72–91.
https://doi.org/10.1080/03461238.2011.636880
2010c28 Cheung, K. C.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P. Risk-minimizing insurance protection for multivariate risks - Journal of Risk and Insurance. 81(1) (2014), 219 – 236.
https://doi.org/10.1111/j.1539-6975.2012.01501.x
2010c29 Cass, T.; Litterer, C.; Lyons, T. Integrability and tail estimates for Gaussian rough differential equations 1104.1813 Ann. Probab. 41(4) (2013), 3026–3050.
https://doi.org/10.1214/12-AOP821
2010c30 Chan, G.; Liu, A.; Yam, S. C. P. A sharper rate of convergence of generalized empirical Likelihood weights for incorporating auxiliary data information pdf  
2010c31 Cheung, K. C.; Liu, A.; Yam, S. C. P.; Yung, S. P. Average value-at-risk minimizing reinsurance under Wang's premium principle with constraints pdf Astin Bull. 42(2) (2012), 575–600.
https://doi.org/10.2143/AST.42.2.2182809
2010c32 Bensoussan, A.; Siu, C. C.; Yam, S. C. P.; Yang, H. A class of non-zero-sum stochastic differential investment and reinsurance games - Automatica J. IFAC. 50(8) (2014), 2025–2037.
https://doi.org/10.1016/j.automatica.2014.05.033
2010c33 Wright, J. A.; Yam, S. C. P.; Yung, S. P. A test for the equality of multiple Sharpe ratios - Journal of Risk. 16(4) (2014). 3-21.
https://doi.org/10.21314/JOR.2014.289
2010c34 Tsai, J.; Yam, S. C. P.; Zhou, W. Conformal invariance of the exploration path in 2-d critical bond percolation in the square lattice 1112.2017  
2010c35 Wong, W. K.; Wright, J. A.; Yam, S. C. P.; Yung, S. P. A mixed Sharpe ratio - Risk and Decision Analysis. 3(1-2) (2012), 37-65.
10.3233/RDA-2012-0051
2010c36 Wright, J. A.; Yam, S. C. P.; Yung, S. P. Enlargement of filtration on Poisson space pdf  
2010c37 Chan, K. C. G.; Yam, S. C. P. Oracle, multiple robust and multipurpose calibration in a missing response problem - Statist. Sci. 29(3) (2014), 380–396.
https://doi.org/10.1214/13-STS461
2010c38 Greven, A.; den Hollander, F.; Kliem, S.; Klimovsky, A. Renormalisation of hierarchically interacting Cannings processes 1209.1856 ALEA Lat. Am. J. Probab. Math. Stat. 11(1) (2014), 43–140.
LINK

Participants

Name
Affiliation
Christoph Aistleitner TU Graz
Louis-Pierre Arguin New York University
María Inés Armendáriz  
Thomas Richard Cass University of Oxford
David Cohen Universitaet Basel
Andrej Depperschmidt Universität Freiburg
Alexander Drewitz TU Berlin
Thomas Duyckaerts Université de Cergy-Pontoise
Fabian Freund Universität Tübingen
Renato Jacob Gava University of São Paulo
Véronique Gayrard Université de Provence
Stefan Wolfgang Grosskinsky University of Warwick
Onur Gun Université de Provence-Aix Marseille 1
Zakhar Kabluchko Universität Ulm
Nicolà Kistler Universität Bonn
Anton Klymovskiy Technische Universiteit Eindhoven
Noemi Sibylle Kurt TU Berlin
Christian Litterer University of Oxford
Carlo Marinelli Università di Bolzano
Eulalia Nualart Université Paris 13
Peter Pfaffelhuber Albert-Ludwigs-Universität
Frank Redig University of Nijmegen
Lluis Quer i Sardanyons Universitat Autònoma de Barcelona
Magdalena Sigg Universität Basel
Arnaud Siri-Jégousse  
Zeev Sobol Swansea University
Samy Tindel Université Henri Poincaré
Amandine Véber CMAP - Ecole Polytechnique
Anita Winter Universität Duisburg-Essen
Lihu Xu EURANDOM
Phillip Sheung Chi Yam The Chinese University of Hong Kong
Hatem Zaag Université Paris 13
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