Simply speaking quantum Zeno effect for an unstable quantum system represents
total decay probability decrease by frequent decay detection. Analogously
simply speaking quantum anti-Zeno effect for an unstable quantum system
represents total...
Towards a Post Reductionist Science: The Open Universe
July 15, 2009
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Physics
General Physics
In this paper we consider clumped baryonic matter as a spherically symmetric
barotropic fluid associated with a compact four-dimensional Einstein manifold
with a four-radius that is determined by the fluid density. We further
investigate th...
Design of Pulse Shapes Based on Sampling with Gaussian Prefilter
July 14, 2009
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Computer Science
Mathematics
Information Theory
Information Theory
Information Theory
Information Theory
Two new pulse shapes for communications are presented. The first pulse shape
generates a set of pulses without intersymbol interferenc (ISI) or is ISI-free
for short. In the neighbourhood of the origin it is similar in shape to the
classica...
PIGTIKAL (puzzles in geometry that I know and love)
June 1, 2009
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Mathematics
History and Overview
Differential Geometry
Metric Geometry
History and Overview
Differential Geometry
Metric Geometry
Problems for the graduate students who want to improve problem-solving skills
in geometry. Every problem has a short elegant solution -- this gives a hint
which was not available when the problem was discovered....
Discrete Linear Groups containing Arithmetic Groups
May 12, 2009
| | |
Mathematics
Group Theory
Group Theory
We prove in a large number of cases, that a Zariski dense discrete subgroup
of a simple real algebraic group G which contains a higher rank lattice is a
lattice in the group G. For example, we show that a Zariski dense subgroup of
$SL_n...
Quantum action, non-locality and coherence from classical perception, a
new facet of Lagrangian formalism for relativistic dynamics
April 14, 2009
Physics
Classical Physics
Classical and quantum mechanical descriptions of physical world are
seamlessly abridged within the framework of Lagrangian formalism which, besides
revealing the essence of nonlocally correlated dynamic evolution, helps
understanding abrupt...
Many-Help-One Problem for Gaussian Sources with a Tree Structure on
their Correlation
January 14, 2009
Computer Science
Mathematics
Information Theory
Information Theory
In this paper we consider the separate coding problem for L+1 correlated
Gaussian memoryless sources. We deal with the case where L separately encoded
data of sources work as side information at the decoder for the reconstruction
of the...
A minimalist two-level foundation for constructive mathematics
November 17, 2008
Mathematics
Logic
We present a two-level theory to formalize constructive mathematics as
advocated in a previous paper with G. Sambin. One level is given by an
intensional type theory, called Minimal type theory. This theory extends the
set-theoretic version...
Proof of the Caratheodory Conjecture
August 6, 2008
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Mathematics
Differential Geometry
Analysis of PDEs
Symplectic Geometry
A well-known conjecture of Caratheodory states that the number of umbilic
points on a closed convex surface in E3 must be greater than one.
In this paper we prove this for C3+α-smooth surfaces. The Conjecture
is first...
Static Universe: Infinite, Eternal and Self-Sustainable
July 7, 2008
Physics
General Physics
In this work, we present a study like a "stellar dynamics" model of an
infinite Universe, in which the matter distribution follow a relationship
inversely proportional to the square power with respect to the distance from
the center of rota...