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[ספר][B] The arithmetic of dynamical systems
JH Silverman - 2007 - books.google.com
This book is designed to provide a path for the reader into an amalgamation oftwo venerable
areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating …
areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating …
On Dynamical Systems and Phase Transitions for q + 1-state p-adic Potts Model on the Cayley Tree
In the present paper, we study a new kind of p-adic measures for q+ 1-state Potts model,
called p-adic quasi Gibbs measure. For such a model, we derive a recursive relations with …
called p-adic quasi Gibbs measure. For such a model, we derive a recursive relations with …
On the Periodicity of the Rational Dynamical System Corresponding to the Vannimenus–Ising Model
The universal behaviors of a rational dynamical system associated with the Vannimenus–
Ising model having two coupling constants on a Cayley tree of order three are studied …
Ising model having two coupling constants on a Cayley tree of order three are studied …
[HTML][HTML] On minimal decomposition of p-adic homographic dynamical systems
A homographic map in the field of p-adic numbers Q p is studied as a dynamical system on
P 1 (Q p), the projective line over Q p. If such a system admits one or two fixed points in Q p …
P 1 (Q p), the projective line over Q p. If such a system admits one or two fixed points in Q p …
Chaotic behavior of the -adic Potts-Bethe map** II
In our previous investigations, we have developed the renormalization group method to $ p
$-adic $ q $-state Potts model on the Cayley tree of order $ k $. This method is closely …
$-adic $ q $-state Potts model on the Cayley tree of order $ k $. This method is closely …
A dynamical system approach to phase transitions for p-adic Potts model on the Cayley tree of order two
In the present paper, we introduce a new kind of p-adic measures for (q+ 1)-state Potts
model, called generalized p-adic quasi Gibbs measure. For such a model, we derive a …
model, called generalized p-adic quasi Gibbs measure. For such a model, we derive a …
[HTML][HTML] p-adic (2, 1)-rational dynamical systems
We study the dynamics of an arbitrary (2, 1)-rational function f (x)=(x2+ ax+ b)/(cx+ d) on the
field Cp of complex p-adic numbers. We show that the p-adic dynamical system generated …
field Cp of complex p-adic numbers. We show that the p-adic dynamical system generated …
p-adic dynamical systems of (2, 2)-rational functions with unique fixed point
We consider a family of (2, 2)-rational functions given on the set of complex p-adic field C p.
Each such function has a unique fixed point. We study p-adic dynamical systems generated …
Each such function has a unique fixed point. We study p-adic dynamical systems generated …
The long-term behavior of the p-adic Sigmoid Beverton-Holt dynamical systems in the projective line P1 (Qp)
In this paper we study the long-term behavior of the p-adic dynamical systems associated
with the Sigmoid Beverton-Holt model that arises in population dynamics. The …
with the Sigmoid Beverton-Holt model that arises in population dynamics. The …
Dynamical Systems of the p-Adic (2, 2)-Rational Functions with Two Fixed Points
We consider a family of (2, 2)-rational functions given on the set of complex p-adic
field\mathbb C_p C p. Each such function f has two distinct fixed points x_1= x_1 (f) x 1= x 1 …
field\mathbb C_p C p. Each such function f has two distinct fixed points x_1= x_1 (f) x 1= x 1 …