Zobrazeno 1 - 10
of 530
pro vyhledávání: '"Eckmann J"'
Publikováno v:
Front. Comput. Neurosci. 4:132 (2010)
We present a theoretical framework using quorum-percolation for describing the initiation of activity in a neural culture. The cultures are modeled as random graphs, whose nodes are excitatory neurons with kin inputs and kout outputs, and whose input
Externí odkaz:
http://arxiv.org/abs/1009.5355
Autor:
Tlusty, T., Eckmann, J. -P.
Publikováno v:
T Tlusty and J-P Eckmann 2009 J. Phys. A: Math. Theor. 42 205004
We examine bootstrap percolation in d-dimensional, directed metric graphs in the context of recent measurements of firing dynamics in 2D neuronal cultures. There are two regimes, depending on the graph size N. Large metric graphs are ignited by the o
Externí odkaz:
http://arxiv.org/abs/0902.3384
Understanding texts requires memory: the reader has to keep in mind enough words to create meaning. This calls for a relation between the memory of the reader and the structure of the text. To investigate this interaction, we first identify a connect
Externí odkaz:
http://arxiv.org/abs/physics/0510276
Publikováno v:
PNAS 101, 17945 (2004)
Recent evidence indicates that the abundance of recurring elementary interaction patterns in complex networks, often called subgraphs or motifs, carry significant information about their function and overall organization. Yet, the underlying reasons
Externí odkaz:
http://arxiv.org/abs/cond-mat/0408431
Autor:
Eckmann, J. -P., Hairer, M.
We study hypoelliptic operators with polynomially bounded coefficients that are of the form K = sum_{i=1}^m X_i^T X_i + X_0 + f, where the X_j denote first order differential operators, f is a function with at most polynomial growth, and X_i^T denote
Externí odkaz:
http://arxiv.org/abs/math-ph/0207046
Publikováno v:
Quantitative Finance 2, 264--281 (2002)
Imitative and contrarian behaviors are the two typical opposite attitudes of investors in stock markets. We introduce a simple model to investigate their interplay in a stock market where agents can take only two states, bullish or bearish. Each bull
Externí odkaz:
http://arxiv.org/abs/cond-mat/0109410
Autor:
Eckmann, J. -P., Hairer, M.
We study stochastically forced semilinear parabolic PDE's of the Ginzburg-Landau type. The class of forcings considered are white noises in time and colored smooth noises in space. Existence of the dynamics in $L^\infty$, as well as existence of an i
Externí odkaz:
http://arxiv.org/abs/nlin/0003057
Autor:
Collet, P., Eckmann, J. -P.
We define the topological entropy per unit volume in parabolic PDE's such as the complex Ginzburg-Landau equation, and show that it exists, and is bounded by the upper Hausdorff dimension times the maximal expansion rate. We then give a constructive
Externí odkaz:
http://arxiv.org/abs/math-ph/9805019
Autor:
Eckmann, J. -P., Wayne, C. E.
We extend the invariant manifold method for analyzing the asymptotics of dissipative partial differential equations on unbounded spatial domains to treat equations in which the linear part has order greater than two. One important example of this typ
Externí odkaz:
http://arxiv.org/abs/math-ph/9805014