Ponedeljak, 01.02.2013. u 14 casova, sala 301f MI SANU
Prof Milan Merkle, Elektrotehnicki fakultet, Univerzitet u Beogradu
MATEMATICKI CASOPISI U SVETU I KOD NAS: SADASNJOST I BUDUCNOST (nastavak)

Rezime: Bice reci o dobro poznatim manipulacijama impakt faktorom u cilju vrednovanja casopisa i pojedinaca, kao i o manje poznatim merama koje se u inostranstvu primenjuju i promenama koje se predlazu da bi se stvari dovele na normalu - drugaciji nacini vrednovanja casopisa i pojedinaca. Predavac ce navesti poznate primere zloupotreba iz svetske prakse, kao i mnogobrojne primere iz visegodisnjeg iskustva glavnog urednika casopisa Applicable Analysis and Discrete Mathematics. Bice takodje reci o specificnim problemima i teskocama za organizaciju i funkcionisanje casopisa u Srbiji. Evropski naucni centri daju primat OAJ casopisima ("open access journals"); da li je moguce da i u Srbiji na duze staze zivi OAJ casopis vrhunskog kvaliteta?

Casopis Applicable Analysis and Discrete Mathematics ima trenutno najvisu kategoriju od strane Ministarstva (M21).

Cetvrtak, 14.02.2013. u 17h sala 301f, MI SANU
!!! OBRATITE PAZNJU NA TERMIN !!!
(Zajednicki sastanak sa Seminarom za geometriju, obrazovanje i vizuelizaciju)
Professor Vladimir Balan, University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics
SPECTRA AND EIGENSPACES ASSOCIATED TO ANISOTROPIC GEOMETRIC STRUCTURES

Abstract: The talk presents the spectral theory for the symmetric covariant tensors related to m-th root type anisotropic metrics, for arbitrary dimension. The relations between the spectral objects and the geometric background implied by the related Finslerian metrics are determined, and their specific significance to the associated relativistic models is pointed out. Further, the prolific in applications HO-SVD and Candecomp/Parafac tensor decompositions -which rely on the tensorial spectral data . are shown to have relevance for the underlying geometry. The developed theory is illustrated by concrete geometric structures for low dimensions, including the cases of Berwald-Moor, Bogoslovski and Chernov alternative STR models.
Selective references:
[1] V. Balan, Spectra of multilinear forms associated to notable m-th root relativistic models, Linear Algebra and Appl. (LAA), 436, 1, 1 (2012), 152-162.
[2] V. Balan, Spectral properties and applications of numerical multilinear algebra of m-root structures, Hypercomplex Numbers in Geom. Phys. 2 (10), 5 (2008), 101--107.
[3] V. Balan, N. Brinzei, Einstein equations for (h,v) - Berwald-Moor relativistic models, Balkan J. Geom. Appl. 11, 2 (2006), 20-26.
[4] V. Balan, S. Lebedev, On the Legendre transform and Hamiltonian formalism in Berwald-Moor geometry, Diff. Geom. Dyn. Syst., 12 (2010), 4-11.
[5] V. Balan, I. R. Nicola, Berwald-Moor metrics and structural stability of conformally-deformed geodesic SODE, Appl. Sci., 11 (2009), 19-34.
[6] G.Yu. Bogoslovsky, Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy?, Symmetry, Integrability and Geometry, Methods and Applications, SIGMA 4, 045 (2008), 1-21.
[7] K.C. Chang, K. Pearson, T. Zhang, On eigenvalue problems of real symmetric tensors, Journal of Mathematical Analysis and Applications, 350 (2009), 416-422.
[8] V.M. Chernov, On defining equations for the elements of associative and commutative algebras and on associated metric forms, In: Space-Time Structure. Algebra and Geometry, D.G. Pavlov, Gh. Atanasiu, V. Balan (eds), Lilia Print, Moscow 2007, 189--209.
[9] L. de Lathauwer, First-order perturbation analysis of the best rank-(R1;R2;R3) approximation in multilinear algebra, J. Chemometrics 18 (2004), 2-11.
[10] L. de Lathauwer, B. de Moor, J. Vandewalle, A multilinear singular value decomposition, SIAM J. Matrix Anal. Appl. 21 (2000), 1253-1278.
[11] D.G. Pavlov, Four-dimensional time, Hypercomplex Numbers in Geom. Phys. 1 (1) (2004), 31-39.
[12] D.G. Pavlov, S.S. Kokarev, Conformal gauges of the Berwald-Moor Geometry and their induced non-linear symmetries (in Russian), Hypercomplex Numbers in Geom. Phys. 2 (10) (2008), 5, 3-14.
[13] L. Qi, W. Sun, Y. Wang, Numerical multilinear algebra and its applications, Front. Math. China, 2 (4) (2007), 501-526.

Petak, 22.02.2013. u 14h, sala 301f, MI SANU, BGD
Marko Nedeljkov, Departman za matematiku, Univerzitet u Novom Sadu
PREKOMPRESIBILNOST I DELTA TALASI

Rezime: Sistemi zakona odrzanja su prakticno osnovni fizicki zakoni. Samim tim resenja moraju imati osim matematicke i fizicku potvrdu. Delta talasi su vrsta resenja sistema zakona odrzanja koja modeliraju grupisanje fluida (ili neke druge supstance - polja) do tacke beskonacnosti. To prevedeno na fizicke zakone znaci da karakteristike moraju "ulaziti" u front talasa jer se tako supstanca nakuplja. Matematicki to zovemo prekompresibilnost. Dugo je taj uslov bio koriscen kao onaj koji potvrdjuje valjanost slabog resenja koje sadrzi delta talase, sto je garantovalo jedinstvenost resenja. To nije tako ocigledno, jer recimo, za 2 X 2 sisteme, kombinacija dva udarna talasa je takodje prekompresibilna. Ako koristimo tzv. "shadow wave solutions" (SDW) koja sadrze delta talase kao podvrstu, u mogucnosti smo da koristimo entropijske parove kao kriterijum valjanosti delta talasa. Ispostavilo se da su u skoro svim dosadasnjim primerima, delta talasa valjani ako i samo ako su prekompresibilni. Prikaz toga cini prvi deo predavanja. Drugi deo predavanja je posvecen prikazivanju prvog poznatog kontraprimera (uopstena Capljiginova jednacina - model tamne energije).

Ako zelite da se obavestenja o Vasim naucnim skupovima pojave u Newsletter of EMS (European Mathematical Society) i na Internetu na lokaciji EMS, onda se obratite na emsvesti@mi.sanu.ac.rs gde cete dobiti format obavestenja.