Stochastic flows associated to coalescent processes II: Stochastic differential equations

By Jean Bertoin, Jean-François Le Gall. 2005

82 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Finance, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/32ca24ea84d9d6c3fe2249b2249c49ff310ec8d3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. Amaury Lambert
2. Nathanaël Berestycki
3. J. Berestycki
4. Martin Möhle
5. A. Etheridge
6. Matthias C. F. Birkner
7. Jochen Blath
8. Marcella Capaldo

In Finance

1. Fei Pu
2. Nathanaël Berestycki
3. Zenghu Li
4. Jason Schweinsberg
5. Martin Moehle
6. Johanna Tams
7. Matthias Steinruecken
8. Matthias C. F. Birkner

In Mathematical Physics

1. Amaury Lambert
2. Nathanaël Berestycki
3. J. Berestycki
4. Martin Möhle
5. Zenghu Li
6. Anton Wakolbinger
7. A. Etheridge
8. Fei Pu

Citations in the corpus

• BETA-COALESCENTS AND CONTINUOUS STABLE RANDOM TREES (2006, background): “If we ask for finer limit theorems about the genealogy of (Zt, t≥ 0), then Duquesne and Le Gall have shown that the discrete height process (Hnk , k = 0,1, . . .), where Hnk is the generation of the kth individual, converges when suitably normalized to a process (Ht, t ≥ 0) called the height process”
• Recent progress in coalescent theory (2009, unknown): “In this section, we briefly go over some of the results proved by Bertoin and Le Gall in their papers [30] and [31].”
• Alpha-Stable Branching and Beta-Coalescents (2005, result): “These results were generalised by Bertoin and Le Gall in [ 4 ].”
• A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks (2008, methodology): “This construction and the duality has been extended to the so-called �-Fleming-Viot process, dual to the �-coalescents, and investigated by several authors, see, e.g., [DK99, BBC05, BLG03, BLG05 , BLG06], or [BB07] for an overview.”
• Strong solutions of jump-type stochastic equations (2012, methodology): “This equation was introduced by Bertoin and Le Gall [4] in their study of generalized Fleming-Viot flows.”
• Combinatorial Stochastic Processes (2006, unknown): “See also [52] for further developments.”
• Population Dynamics and Random Genealogies (2008, background): “83 4.3.4 The coalescent point process . . . . . . . . . . . . . . . . . . . . . . . . 84 4.4 Spine decomposition of infinite trees . . . . . . . . . . . . . . . . . . . . . . . . 85 4.4.1 The supercritical infinite tree . . . . . . . . . . . . . . . . . . . . . . . . 85 4.4.2 Conditioned (sub)critic”