MAM Seminars Spring term 2012

Higher seminar in the subject Mathematics/Applied Mathematics, Spring term 2012.
School of Education, Culture and Communication (UKK), Mälardalen University.

Speaker: Prof. Kimmo Eriksson, UKK, Matematik/tillämpad matematik

Time: onsdag, 7 mars, 15.30-16.00 (Wednesday, March 7)

Place: Västerås, R1-122

Title: Matematiska modeller och experiment på sociala dilemman

Abstract: I min forskargrupp (på Centrum för evolutionär kulturforskning) studerar vi bland annat fenomenet sociala dilemman, situationer som spelteoretiskt karakteriseras av att nashjämvikten inte är paretooptimal - med andra ord att individers egenintresse leder dem till ett beteende vars utfall är sämre än de som grupp skulle kunna uppnå genom ett annat beteende. Jag ska berätta om hur man studerar sådana situationer med matematiska modeller och med laboratorieexperiment.

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Speaker: Prof. Erik Dahlquist, HST, Energi och miljöteknik

Time: onsdag, 28 mars, 15.30-16.20 (Wednesday, 28 March)

Place: Kappa, MDH, Västerås

Title: Fluid Dynamics

Abstract: This lecture will be an overview of several state of the art models in energy engineering relying on Mathematical methods. The topics covered in this lecture are: 
1. Use of Navier- Stoke´s equations to model fluid dynamics, simplifications of these to fit a fluid dynamic problem and transfer of the simplified equations into difference equations. These are used in a matrix with boundary conditions, and the equation system solved. 
2. Energy transport – similar but with temperature as the main variable. Thermodynamics including volume change in e.g. Turbines. 
3. Masstransport – similar but with concentration of different components. Chemical reactions – transfer of a chemical like a fuel into components as CO2 and H2O. Modeling of this. 
How these equations are used for energy engineering applications? How we use for optimization using simulations with setting of operating parameters (Genetic algorithm, Simulated annealing). 
4. Markov chains- Bayesian Nets – a good tool to combine with simulations using the equations above compared to measured data from a process like a boiler or a digester. This is more to show how we want to do and with a goal to do adaptive algorithms for building decision support systems.

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Speaker: Prof. Dmitrii Silvestrov, Stockholm University/Mälardalen University

Time: onsdag, 18 april, 15.30-16.20  (Wednesday, April 18)

Place: Lambda, U-huset, MDH, Västerås 

Title: Optimal Stopping and Convergence for American Type Options

Abstract: Lecture presents a survey of results from a new book with the above title, being at the moment in the final stage of preparation. The book is devoted to approximation methods for rewards of American type options for multivariate modulated Markov price processes with discrete time. The classes of price processes under consideration include multivariate modulated Markov chains, modulated random walks, and various autoregressive models. General convergence results are presented, as well as their applications to space skeleton approximations, tree approximations, and Monte Carlo based approximation algorithms for option rewards. Also, results related to studies of structure for optimal stopping domains are presented as well as results related to option reselling problem. Theoretical results are illustrated by results of experimental studies. Finally, connection with problems of optimal stopping and convergence for multivariate modulated Markov type price processes with continuous time is discussed.

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Speaker: Prof. Björn Lisper, IDT

Time: 25 april, 15.30-16.20  (Wednesday, April 25)

Place: Delta, R-huset, MDH, Västerås

Title: WCET Analysis

Abstract: Worst-Case Execution Time (WCET) analysis computes an upper bound to the longest possible execution time (the WCET) for a sequential program running on a certain hardware. This information is important when analyzing real-time systems. Static WCET analysis techniques compute a safe upper bound to the WCET by an off-line analysis, using mathematical models of hardware and software. Safe bounds are important for the analysis of hard, safety-critical real-time systems. In this talk we first explain the fundamentals of static WCET analysis, and we then give an account for the WCET analysis research carried out by the Programming Languages group at MRTC, MDH.

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Speaker: Anatoliy Malyarenko, UKK, Matematik/tillämpad matematik

Time: onsdag 2 maj, kl 15.30-16.20 (Wednesday, May 2) 

Place:  R1-131, R-huset, MDH, Västerås

Title: Invariant random fields in vector bundles and application to cosmology.

Abstract: We develop the theory of invariant random fields in vector bundles. The spectral decomposition of an invariant random field in a homogeneous vector bundle generated by an induced representation of a compact connected Lie group G is obtained. We discuss an application to the theory of relic radiation, where G = SO(3). A theorem about equivalence of two different groups of assumptions in cosmological theories is proved.

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Speaker: Alexander Funcke, Mathematics, Mälardalen University

Time: onsdag 23 Maj, 15.30-16.00   (Wednesday, May 23)

Place:  Hilbertrummet U3-083, U-huset, UKK, MDH, Västerås

Title:  Policing a disregard for others: How an authority can enforce an equilibrium

Abstract: Consider a population where two players at a time are drawn to play a normal-form game. Evolutionary game theory (EGT) is commonly used to analyse this setting and assumes that the players have level-k ideas about the others' rationality, memory and strategic reasoning.

In this talk I will introduce a budget-balanced fine and reward mechanism that enable an authority to enforce the choice of a strategy without any assumptions about how the players regard the others' rationality, memory or strategic reasoning.  Further it will reduce the EGT problem to simple choices between strategies that in various way exhibit constant expected utility. 

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Speaker: Jean-Paul MuraraApplied Mathematics Department, Kigali Institute Of Science And Technology (KIST), Rwanda.

Time: onsdag 23 Maj, 16.00-16.30   (Wednesday, May 23)

Place:  Hilbertrum (U3-083), U-huset, UKK, MDH, Västerås

Title:  Regime Switching Models for Electricity Time Series that capture Fat Tailed Distributions.

Abstract: The behaviour of a price trend usually known as a structural break may change over time in terms of its mean value, its volatility, or it may change for a period of time before reverting back to its original behaviour or switching to another style of behaviour, and the latter is typically termed a regime shift or regime switch.

Our task is to develop an electricity price time series model that captures fat tailed distributions which can explain this behaviour and analyze it for better understanding.

For NordPool data used, the obtained Markov Regime-Switching model operates on two regimes: regular and non-regular. Three criteria have been considered price difference criterion, capacity/flow difference criterion and spikes in Finland criterion.

The suitability of GARCH modeling to simulate multi-regime modeling is also studied.

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Speaker: Prof. Andreas Ryve, Maria Larsson, UKK, Mälardalen University

Time: onsdag 30 maj, 15.30-16.30    (Wednesday, May 30, 15.30-16.30)

Place: U2-036, U-huset, Västerås, MDH

Title: Matematikdidaktiskforskning på Mälardalens Högskola

Abstract: Vi tänker oss ett tvådelat seminarium där jag inleder och sedan fortsätter Maria Larsson och jag. Presentation ger en översikt kring forskargruppen M-TERM och dess verksamhet med ett speciellt fokus på möjliga sätt att samarbeta inom matematik/tillämpad matematik. Specifika strategier, matematiska idéer och matematiska representationsformer: Seminariet syftar till att diskutera sätt att benämna olika aspekter matematiska problem och elevers/studenters sätt att lösa dessa. Vi vill gärna få input kring frågor av typen: Vad är en matematisk idé och hur förhåller det sig till matematiska begrepp? Hur definierar vi en lösningsstrategi och vilka sådana är kopplade till ett visst problem och vilka är av mer generell karaktär? Vad är det för likheter och skillnader mellan en lösningsstrategi och en lösningsmetod?

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