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JNS
2008
44views more  JNS 2008»
15 years 6 months ago
The Scaling Attractor and Ultimate Dynamics for Smoluchowski's Coagulation Equations
We describe a basic framework for studying dynamic scaling that has roots in dynamical systems and probability theory. Within this framework, we study Smoluchowski's coagulat...
Govind Menon, Robert L. Pego
JC
1998
65views more  JC 1998»
15 years 5 months ago
Monte Carlo Complexity of Global Solution of Integral Equations
The problem of global solution of Fredholm integral equations is studied. This means that one seeks to approximate the full solution function (as opposed to the local problem, whe...
Stefan Heinrich
MOC
1998
147views more  MOC 1998»
15 years 5 months ago
On the Diophantine equation |axn - byn | = 1
If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptio...
Michael A. Bennett, Benjamin M. M. de Weger
CONCUR
2006
Springer
15 years 10 months ago
Probabilistic I/O Automata: Theories of Two Equivalences
Working in the context of a process-algebraic language for Probabilistic I/O Automata (PIOA), we study the notion of PIOA behavior equivalence by obtaining a complete axiomatizatio...
Eugene W. Stark, Rance Cleaveland, Scott A. Smolka
AB
2008
Springer
16 years 16 days ago
Neural Algebra and Consciousness: A Theory of Structural Functionality in Neural Nets
Abstract. Thoughts are spatio-temporal patterns of coalitions of firing neurons and their interconnections. Neural algebras represent these patterns as formal algebraic objects, a...
Erwin Engeler