The Lefschetz Number of an Involution on the Space of Harmonic Cusp Forms of SL3.
Rigidity of certain finite group actions on the complex projective plane.
Combined Unbiased Estimators Based on Q-Reduced Model.
Rochlin invariants, theta functions and the holonomy of some determinant line bundles.
Stability analysis for large scale time delay systems via the matrix Lyapunov function
The mass of sites visited by a random walk on an infinite graph.
On the Hausdorff dimension of ultrametric subsets in ℝⁿ
For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).
Graded Lie algebras of maximal class IV
Dynamics of Stochastic Neuronal Networks and the Connections to Random Graph Theory
We analyze a stochastic neuronal network model which corresponds to an all-to-all network of discretized integrate-and-fire neurons where the synapses are failure-prone. This network exhibits different phases of behavior corresponding to synchrony and asynchrony, and we show that this is due to the limiting mean-field system possessing multiple attractors. We also show that this mean-field limit exhibits a first-order phase transition as a function...
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