Conference on
Non Standard Mathematics

DMUA - Department of Mathematics UA | University of Aveiro Aveiro - Portugal
 
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Talks

G. Beate Zimmer Department of Computing and Mathematical Sciences, Texas A&M University - Corpus Christi, USA Differentiating one vector measure with respect to another vector measure
Bebbouchi Rachid U.S.T.H.B, Algérie Some partial results about three dimensional perturbed dynamical systems
Jacques Bosgiraud Université de Paris Saint-Denis, France Nonstandard Statistical Tests
Dahmani Zoubir Department of Mathematics, University of Mostaganem, Algeria Application Of Nonstandard Analysis To Problems With Peano Points
Eva Aigner Universit at Munchen, Germany Differential properties of Loeb measures
F. J. Moreira University of Porto, Portugal Preserving Lyapounov exponents under topological conjugacies
Karel Hrbacek Department of Mathematics - City College of CUNY - New York, USA Relative Standardness
Chris Impens
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Sam Sanders
University of Gent, Department of Pure Mathematics and Computer Algebra, Belgium ERNA at work
Boris Khots
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Dmitriy Khots
Iowa,USA Mathematics of Relativity
John Kimber
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Richard O'Donovan
Collège de Genève, Geneva, Switzerland A Non Standard Formula Table
Messirdi Miloud Universite de Tlemcen, Departement de Mathematiques Faculte des Sciences, Algérie Spatial Discretization of a Propagation Equation
Richard O'Donovan College Andre Chavanne - Geneva, Switzerland What is the value of f'(2+d)?
T.Kudryk
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W. Lyantse
Dept. of Mathematics, L'viv National University, Ukraine Standard filling of a hyperfinite product space
T. Kudryk (Ukraine)
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W. Lyantse (Ukraine)
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Vítor Neves
University of Aveiro, Portugal Nonstandard Universe based on Internal Set Theory
Nader Vakil Western Illinois University, USA Nonstandard Topologies On Function Spaces
Nabil Beroual
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Hannachi Messaoud
Dept. of Mathematics, Ferhat Abbas University, Algeria On The Asymptotic Behavior Of Cubical Curves
Vladimir Kanovei, Moscow
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Michael Reeken, Wuppertal
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Saharon Shelah, Jerusalem, Rutgers
Moscow

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Wuppertal

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Jerusalem, Rutgers
Fully saturated extensions of standard universe
Toru Nakamura Department of Mathematics, Sundai Preparatory School, Japan Nonstandard Path Integral for Fokker-Planck Equation with Unbounded Coefficient Function
Hannachi Messaoud Dept. of Mathematics, Ferhat Abbas University, Algeria Sur les traces polygônales de Newton
G. Kapoulas Athens Univ. of Economics And Business, Dept. of Accounting and Finance
Greek Open University, Greece
Infinitesimals via Π2definition
R. F. Hoskins Loughborough University, Loughborough, UK The Sousa Pinto Approach to Nonstandard Generalised Functions
Abdelmadjid Boudaoud Université de M'Silva, Département de Mathématiques, Algérie Dickson's conjecture and particular classes of natural numbers
Steven C. Leth Department of Mathematical Sciences, University of Northern Colorado - Greeley, USA Near Arithmetic Progressions in Sparse Sets
Todor Todorov Mathematics Department - California Polytechnic State University - San Luis Obispo, California, USA Multiplication of Schwartz Distributions within *C(IRd )
Yves Péraire Département the Mathématiques - Université Blaise Pascal (Clermont II), France Analysis of various practices of referring in classical or non standard mathematics.
Natália Martins
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Vítor Neves
University of Aveiro, Portugal Nonstandard Palais - Smale conditions
Vítor Neves University of Aveiro, Portugal The power of Gâteaux differentiability.
Frederik Herzberg University of Oxford, United Kingdom Lifting Lévy processes to internal random walks.
Hideyasu Yamashita Aichi-Gakuin University, Japan Nonstandard path integral and supersymmetry.
João Paulo Teixeira Technical University of Lisbon, Portugal A hiperfinite approach to a system of diffusion-convection equations of Navier-Stokes type
Marco Forti Dip. Matematica Applicata "U.Dini" Universita' di Pisa, Italy A Functional Characterization of Nonstandard Models.
Vieri Benci Universita' di Pisa, Italy Counting theories and hypernatural numbers.
Mauro Di Nasso Dipartimento di Matematica "L. Tonelli" - Universita' di Pisa, Italy Different paths to nonstandard analysis.


Plenary Talks

Nigel Cutland University of Hull, England Optimal control theory for stochastic Navier-Stokes equations
Renling Jin College of Charleston , USA Nonstandard Methods in Additive Problems Of Combinatorial Number Theory
Peter A. Loeb University of Illinois, Urbana-Champaign, USA Applications of Rich Standard Measure Spaces in Nonstandard Models
Manfred Wolff University of Tüebingen, Germany An easy approach to quantum stochastic processes by nonstandard analysis
Imme Van den Berg University of Évora, Portugal A dimension theorem for neutrices
Edward Nelson Princeton University, USA The Virtue of Simplicity
David Ross University of Hawaii, USA Fun with measures
H. Jerome Keisler University of Hawaii, USA The strength of nonstandard analysis revisited
Tewfik Sari University of Haute-Alsace, France Averaging in ordinary differtential equation and in functional differential equation


Courses

Keith Stroyan The University of Iowa, USA Infinitesimal Calculus

Lecture 1: Some Intuitive Proofs with "Small" quantities
Lecture 2: Keisler's Foundations for Infinitesimal Analysis
Lecture 3: Local Linearity and Infinitesimal Microscopes
Lecture 4: Higher Level Analysis