88,974 research outputs found
Existence of Bistable Waves in a Competitive Recursion System with Ricker Nonlinearity
Using an abstract scheme of monotone semiflows, the existence of bistable
traveling wave solutions of a competitive recursion system with Ricker
nonlinearity is established. The traveling wave solutions formulate the strong
inter-specific actions between two competitive species
Proof of the Labastida-Marino-Ooguri-Vafa Conjecture
Based on large N Chern-Simons/topological string duality, in a series of
papers, J.M.F. Labastida, M. Marino, H. Ooguri and C. Vafa conjectured certain
remarkable new algebraic structure of link invariants and the existence of
infinite series of new integer invariants. In this paper, we provide a proof of
this conjecture. Moreover, we also show these new integer invariants vanish at
large genera.Comment: 57pages, typos corrected, add some detail
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