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A central question in invariant theory is that of determining the relations among
invariants. Geometric invariant theory quotients come with a natural ample line bundle,
and hence often a natural pr...
The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points
Stationary Behaviour Fluid Limits of Reversible Processes Stationary Points
2010/12/13
Assume that a stochastic processes can be approximated, when some scale parameter
gets large, by a fluid limit (also called “mean field limit”, or “hydrodynamic limit”). A
common practice, often cal...
Fixed points of the smoothing transform: Two-sided solutions
Branching random walk characteristic function general branching processes
2010/12/6
Given a sequence (C, T) = (C, T1, T2, . . .) of real-valued random variables with Tj ≥ 0 for all j ≥ 1 and almost surely finite N = sup{j ≥1 : Tj > 0}, the smoothing transform associated with (C, T), ...
THE EXISTENCE OF ORBITS CONNECTING CRITICAL POINTS OF DIFFERENTIAL EQUATIONS DEPENDING ON A PARAMETER
Connecting orbit isolated invariant set
2007/8/7
Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending ...