Hammersley's Process with Sources and Sinks

Autor: Cator, Eric, Groeneboom, Piet

Publikováno v: The Annals of Probability, 2005 May 01. 33(3), 879-903.

Externí odkaz: https://www.jstor.org/stable/3481714

Sequential Selection of an Increasing Sequence from a Multidimensional Random Sample

Autor: Baryshnikov, Yuliy M., Gnedin, Alexander V.

Publikováno v: The Annals of Applied Probability, 2000 Feb 01. 10(1), 258-267.

Externí odkaz: https://www.jstor.org/stable/2667195

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Ulam's problem

Autor: Kučerová, Tereza

In this bachelor's thesis we deal with Ulam's problem. In the first chapter, we introduce the basic definitions and the axiomatic theory of ZF extended by the Axiom of Choice; we also formulate and prove the Lemma that will be used for the proofs in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2186::6d18293a8b2aa4ce914d90cf26fe22ea
http://www.nusl.cz/ntk/nusl-510143

On a toy network of neurons interacting through their dendrites

Autor: Nicolas Fournier, Etienne Tanré, Romain Veltz

Publikováno v: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (2), pp.1041-1071. ⟨10.1214/19-AIHP993⟩
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2020, 56 (2), pp.1041-1071. ⟨10.1214/19-AIHP993⟩
Ann. Inst. H. Poincaré Probab. Statist. 56, no. 2 (2020), 1041-1071
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2020, 56 (2), pp.1041-1071

Consider a large number $n$ of neurons, each being connected to approximately $N$ other ones, chosen at random. When a neuron spikes, which occurs randomly at some rate depending on its electric potential, its potential is set to a minimum value $v_{

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e13e7d679237ad555c914390adf4ebc0
https://doi.org/10.1214/19-aihp993