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## Understanding differential equations through diffusion point of view

In this paper, we propose a new adaptation of the D-iteration algorithm to numerically solve the differential equations. This problem can be reinterpreted in 2D or 3D (or higher dimensions) as a limit of a diffusion process where the boundary or initial conditions are replaced by fluid catalysts. Pr...

## A narrow band method for the convex formulation of discrete multi-label problems

International audience We study a narrow band type algorithm to solve a discrete formulation of the convex relaxation of energy functionals with total variation regularization and nonconvex data terms. We prove that this algorithm converges to a local minimum of the original nonlinear optimization p...

## Mathematical knowledge of students for primary education teachers: Analysis of variables

Summary In this research work, the knowledge of numbers and geometry of students for primary education teachers is studied. Research is of a quantitative nature and descriptive and inferential statistical techniques were used. To address the study, 20 questions released from the TIMSS tests were sel...

## An examination of the practice of culturally responsive evaluation: a case study of the Girls Adventures in Mathematics, Engineering, and Science (G.A.M.E.S.) summer camp at the University of Illinois

In recent decades, there has been an expansion of evaluation approaches that seek to respond to the cultural context of the program that is being evaluated. Of these, culturally responsive evaluation is the most well-known evaluation approach. The purpose of culturally responsive evaluation is to ta...

## Recovering a time-homogeneous stock price process from perpetual option prices

It is well known how to determine the price of perpetual American options if the underlying stock price is a time-homogeneous diffusion. In the present paper we consider the inverse problem, that is, given prices of perpetual American options for different strikes, we show how to construct a time-ho...

## Emergence of Criticality in the Transportation Passenger Flow: Scaling and Renormalization in the Seoul Bus System

International audience Social systems have recently attracted much attention, with attempts to understand social behavior with the aid of statistical mechanics applied to complex systems. Collective properties of such systems emerge from couplings between components, for example, individual persons,...

## SEMIOTIC IN THE TEACHING OF PHYSICS

This article presents an introduction to semiotics in science education. In its beginnings semiotics was introduced in the teaching of mathematics, and subsequently it has been applied for the teaching of physics, chemistry and biology, mainly. It shows the importance of the transition between diffe...

## Continuous functions with compact support

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## Stock Price Fluctuations in an Agent-Based Model with Market Liquidity

We study an agent-based stock market model with heterogeneous agents and friction. Our model is based on that of Foellmer-Schweizer(1993): The process of a stock price in a discrete-time framework is determined by temporary equilibria via agents' excess demand functions, and the diffusion approximat...

## Thermographic Inspection at the Interface of Dry Sliding Surfaces

Thermographic Inspection at the Interface of Dry Sliding Surfaces

## Application of Molecular Dynamics Simulation to Small Systems

Application of Molecular Dynamics Simulation to Small Systems

## Combinatorial information distance

Let $|A|$ denote the cardinality of a finite set $A$. For any real number $x$ define $t(x)=x$ if $x\geq1$ and 1 otherwise. For any finite sets $A,B$ let $\delta(A,B)$ $=$ $\log_{2}(t(|B\cap\bar{A}||A|))$. We define {This appears as Technical Report # arXiv:0905.2386v4. A shorter version appears in t...

## Linear fuzzy-discriminant analysis applied to forecast ozone concentration classes in sea-breeze regime

International audience A discriminant analysis model using 1-day lagged ozone maximum concentration and the weather forecast of wind and temperature proves to correctly classify ozone episodes, if reasonable error ranges are accepted. Seven classes are defined around the ozone level of interest, eac...

## Laboratory Modeling of Resonance Phenomena in the Long Wave Dynamics

International audience Two sets of experiments in a wave flume to demonstrate resonance phenomena in laboratory conditions have been performed. The first set was performed to investigate nonlinear wave run-up on the beach. It is revealed that under certain wave excitation frequencies, a significant...

## Numerical simulation of the cardiovascular system

Progress in applied mathematics today makes it possible to consider computer-based simulation of certain compartments of the cardiovascular system. We propose to take stock of a few models, focusing on simulating blood flow in deformable arteries and simulating myocardial contraction due to the spre...

## Decision Guide Environment for Design Space Exploration

International audience In current embedded system design practice, only few architectural solutions and mappings of the functionalities of a system on the architecture's components are examined. This paper presents an optimization-based method and the associated tool developed to help designers...

## Innovative teaching methodology for the teaching of financial mathematics under the COVID-19 scenario

[ES] This work presents a teaching innovation applied to a group of financial mathematics in the International Business Graduate and its adaptation to the COVID-19 context. With the aim of improving academic outcomes and fostering meaningful learning in knowledge and competences and in line with the...

## Deep Hedging

We present a framework for hedging a portfolio of derivatives in the presence of market frictions such as transaction costs, market impact, liquidity constraints or risk limits using modern deep reinforcement machine learning methods. We discuss how standard reinforcement learning methods can be app...

## Neither “pure” nor “applied”: the uses of geometry in Wittgenstein and Poincaré

Wittgenstein have consistently criticised the distinction between pure geometry and applied geometry. This distinction has been widely supported by logical positivists which, in the context of a renewed a priori theory, intended to mark a clear separation between mathematics (formal systems not inte...

## The full-tails gamma distribution applied to model extreme values

In this article we show the relationship between the Pareto distribution and the gamma distribution. This shows that the second one, appropriately extended, explains some anomalies that arise in the practical use of extreme value theory. The results are useful to certain phenomena that are fitted by...

## A History of Gravitational Waves between Discoveries & Nature of Science Teaching : hypotheses and Perspectives

The main research area of my PhD Thesis is History and Epistemology of Science (Physics, Mathematics, CNU 72). The combined–subjects are the History of Gravitational Waves (HGW) & the Nature of Science (NoS, CNU 70). Gravitational Waves (GW) are invisible undulations in space: any mass moves, then G...