Dang Vu Giang
Linear difference equations over p-adic and finite fields.
Mon, 03/29/2010 - 15:01 — SomNambulAuthors: Dang Vu Giang
Subjects: Dynamical Systems
AbstractFirst, we study p-adic matrices and their discrete dynamics over p-adic
numbers C_p. We prove that if p-adic absolute value of every eigenvalue of a
p-adic matrix is less than 1 then every solution of v_{n+1}=Av_n converges to 0
as n tends to infinity. Second, we study the periodicity of solutions of the
system over finite fields.Persistence and global attractivity in the model $A_{n+1}=A_nF(A_{n-m})$.
Mon, 03/29/2010 - 15:01 — SomNambulAuthors: Dang Vu Giang
Subjects: Dynamical Systems
AbstractFirst, we systemize ealier results the uniform persistence for discrete model
$A_{n+1}=A_nF(A_{n-m})$ of population growth, where $F:(0,\infty)\to(0,\infty)$
is continuous and strictly decreasing. Second, we investigation the effect of
delay $m$ when $F$ is not monotone. We are mainly using $\omega$-limit set of
persistent solution, which is discussed in more general by P. Walters, 1982.Levy Processes involving Riemann zeta function.
Fri, 03/26/2010 - 16:01 — SomNambulAuthors: Dang Vu Giang
Subjects: Classical Analysis and ODEs
AbstractWe prove several useful remarks on Riemann zeta function and Levy Process.
The Jacobian conjecture is simple and true.
Fri, 12/11/2009 - 16:01 — SomNambulAuthors: Dang Vu Giang
Subjects: Algebraic Geometry
AbstractWe simply prove the famous Jacobian conjecture by derivating powers of the
Hessian of a homogenous polynomial of degree 4.
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