Ekrem Savas
Turkey
A sequence spaces and uniform (A,\varphi)- statistical convergence
Abstract.
In the present paper, we introduce and study some properties of the a new sequence space that is defined using the \varphi- function and
de la Val\'{e}e-Poussin mean. Also we study some connections between V_{\lambda}((A,\varphi))- strong summability of sequences and
\lambda- strong convergence with respect to a modulus.
Close
Abstract.
In the present paper, we introduce and study some properties of the a new sequence space that is defined using the \varphi- function and
de la Val\'{e}e-Poussin mean. Also we study some connections between V_{\lambda}((A,\varphi))- strong summability of sequences and
\lambda- strong convergence with respect to a modulus.
Close
Peeyush Chandra
India
Mathematical Modeling and Analysis of Ecological Systems with Harvesting
Abstract.
Ecology is the scientific study of the relationships that living organisms have with each
other and with their abiotic environment. Populations interact with each other in
numerous complex ways, e.g., competition and predation. The harvesting of resources is
important issue from the ecological and the economic point of view. In recent years
there has been an emphasis of scientific management of commercial exploitation of
biological resources. In view of this we consider present here mathematical models of
ecological systems (competition and prey predator) with harvesting. Dynamical
complexity of these models has been investigated to see various aspects of interactions
and the effect of harvesting.
Close
Abstract.
Ecology is the scientific study of the relationships that living organisms have with each
other and with their abiotic environment. Populations interact with each other in
numerous complex ways, e.g., competition and predation. The harvesting of resources is
important issue from the ecological and the economic point of view. In recent years
there has been an emphasis of scientific management of commercial exploitation of
biological resources. In view of this we consider present here mathematical models of
ecological systems (competition and prey predator) with harvesting. Dynamical
complexity of these models has been investigated to see various aspects of interactions
and the effect of harvesting.
Close
Christina Boura
France
Algebraic properties of SHA-3 and notable cryptanalysis results
Abstract.
In 2012 the Keccak family of hash functions was selected by the
NIST to become the new SHA-3 standard. During the SHA-3 competition and
afterwards, this algorithm has attracted the attention of cryptanalysts and
many results on the inner structure as well on the round-reduced hash
function have been published. In this talk we will start by investigating
some algebraic properties of the algorithm leading to distinguishers on the
inner permutation. Then we will analyze the most important collision
attacks on reduced-round SHA-3.
Close
Abstract.
In 2012 the Keccak family of hash functions was selected by the
NIST to become the new SHA-3 standard. During the SHA-3 competition and
afterwards, this algorithm has attracted the attention of cryptanalysts and
many results on the inner structure as well on the round-reduced hash
function have been published. In this talk we will start by investigating
some algebraic properties of the algorithm leading to distinguishers on the
inner permutation. Then we will analyze the most important collision
attacks on reduced-round SHA-3.
Close
Birendra Nath Mandal
India
On Galekin method and application to water wave scattering problems
Abstract.
In this talk the Galekin technique for solving numerical a general operator equation along with
its application to some water wave scattering problem will be presented.
Close
Abstract.
In this talk the Galekin technique for solving numerical a general operator equation along with
its application to some water wave scattering problem will be presented.
Close
Mridul Nandi
India
Minimum Number of Multiplication to Compute a Delta-Universal Hash Function.
Abstract.
Delta universal Hash Function is a family of function F_K which is a multivariate polynomial in keys K and message elements M (from a finite field).
Moreover, it has small differential probability i.e., P[F_K(M) - F_K(M') = c] is small for all distinct M and M' and c. It is an important combinatorial
object which has application in many areas of computer science including cryptography. Any multivariate polynomial can be computed by a
sequence of multiplication and addition. As multiplications are usually costly operations than addition, we study the lower bounds on the number
of multiplication to compute a delta universal hash function. In this talk, we obtain a concrete form of the lower bound of the number of
multiplication to compute any delta universal hash function. We see that the bound is tight by illustrating an example.
Close
Abstract.
Delta universal Hash Function is a family of function F_K which is a multivariate polynomial in keys K and message elements M (from a finite field).
Moreover, it has small differential probability i.e., P[F_K(M) - F_K(M') = c] is small for all distinct M and M' and c. It is an important combinatorial
object which has application in many areas of computer science including cryptography. Any multivariate polynomial can be computed by a
sequence of multiplication and addition. As multiplications are usually costly operations than addition, we study the lower bounds on the number
of multiplication to compute a delta universal hash function. In this talk, we obtain a concrete form of the lower bound of the number of
multiplication to compute any delta universal hash function. We see that the bound is tight by illustrating an example.
Close
G. P. Kapoor
India
Wavelets with Fractals Bases, Image Denoising and Compression
Abstract.
The wavelets are powerful tools to extract feature details in a given image. The present talk aims at
the construction of wavelets with Fractal Interpolation Function Bases and its comparison with
wavelets constructed with Haar bases or Daubechies Bases. The applications of theses wavelets in
Denoising and Image Compression are discussed.
Close
Abstract.
The wavelets are powerful tools to extract feature details in a given image. The present talk aims at
the construction of wavelets with Fractal Interpolation Function Bases and its comparison with
wavelets constructed with Haar bases or Daubechies Bases. The applications of theses wavelets in
Denoising and Image Compression are discussed.
Close
Binod Chandra Tripathy
India
