papers.html

October 15, 2009

SPADE2

Publications written within the SPADE 2 program in 2005-09

No

Authors

Title

Journal

Remarks

 

Dynamical Systems

     

1

M. Aspenberg,

J. Graczyk

Dimension and measure for semihyperbolic rational maps of degree 2

 

Subm.

2

K. Baranski

Hausdorff dimension on hairs and ends for entire maps of finite order

Math. Proc. Cambridge Philos. Soc. 145(2008), 719-737.

 

3

K. Baranski

Hausdorf dimension of self-affine limit sets with an invariant direction

Discrete and Continuous Dynamical Systems, 21(2008), 1015-1023.

 

4

K. Barański,

M. Misiurewicz

Omega-limit sets for the Stein-Ulam spiral map

Topology Proc., (2009).

 

5

K. Baranski,

B. Karpinska,

A. Zdunik

Dimension properties of the boundaries of exponential basin

Bull. Lond. Math. Soc., (2009).

 

6

K. Baranski,

B. Karpinska,

A. Zdunik

Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts

Internat. Math. Res. Notices, 4 (2009), 615-624.

 

7

F. Przytycki,

J. Rivera-Letelier

Nice inducing schemes and the thermodynamics of rational maps

 

Subm.

8

K. Gelfert,

F. Przytycki,

M. Rams

Lyapunov spectrum for rational maps

 

Subm.

9

E. Gutkin,

M. Rams

Growth rates for geometric complexities and counting functions in polygonal billiards

Ergodic Theory Dynamical Systems 29 (2009), 1163-1183.

 

10

K. Gelfert,

M. Rams

Geometry of limit sets for expansive Markov systems

Trans. Math. Amer. Soc., 361 (2009), 2001-2020

 

11

K. Gelfert,

M. Rams

The Lyapunov spectrum of some parabolic systems

Ergodic Theory Dynam. Systems, 29 (2009), 919-940

 

12

K. Gelfert

Repellers for non-uniformly expanding maps with singular and critical points

 

Subm.

13

T. Jordan,

M. Rams

Multifractal analysis of weak Gibbs measures for non-uniformly expanding C^1 maps

 

Subm.

14

J. Levy-Vehel,

M. Rams

Large deviation multifractal analysis of a class of additive processes with correlated non-stationary increments

 

In prep.

15

M. Rams,

J. Levy-Vehel

Results on the dimension spectrum for self-conformal measures

Nonlinearity, 20 (2007), 965-973.

 

16

T. Jordan,

M. Rams

Multifractal analysis for Bedford-McMullen carpets

 

Subm.

17

M. Rams,

K. Simon

Projections of percolations

 

In prep.

18

G. Levin

Multipliers of periodic orbits in spaces of rational maps I, II

 

Subm.

19

J.Kotus,

G. Swiatek

Invariant measures for meromorphic Misiurewicz maps

Math. Proc. Camb. Phil. Soc., 145 (2008), 685-697.

 

20

J. Kotus,

G. Swiatek,

No finite invariant density for Misiurewicz exponential maps

C. R. Acad. Sci. Paris, Ser. I, 346 (2008), 559-562.

 

21

J. Kotus,

M. Urbanski

Hausdorf dimension of radial and escaping points for transcendental meromorphic functions

Illinois J. Math., (2009).

 

22

P. Galazka,

J. Kotus

The straightening theorem for tangent-like maps

Pacific J. Math., 237 ( 2008), 77-85

 

23

J. Hawkins,

L. Koos,

J. Kotus

Elliptic functions with critical orbits approaching infinity

J. Difference Equ. Appl., April 2009, 1-17

 

24

W. Bergweiler,

J. Kotus

On the Hausdorff dimension of the escaping set of certain meromorphic functions

 

Subm.

25

L. Jaksztas

On the derivartive of the Hausdorf dimension of the quadratic Julia set I, II

 

Subm.

26

M. Wojtkowski

Abstract fluctuation theorem

Ergodic Theory and Dynamical Systems, 29 (2009), 273-279

 

27

D. Farm,

T. Persson,

On Falconer classes with holes

 

In prep.

28

R. Rudnicki,

R. Wieczorek

Fragmentation-coagulation models of phytoplankton

Bull. Pol. Ac. Sci., 54(2006), 175-191.

 

29

R. Rudnicki,

R. Wieczorek

Phytoplankton dynamics: from the behaviour of cells to a transport equation

Mathematical Modelling of Natural Phenomena, 1 (2006), 83--100.

 

30

R.Rudnicki,

R. Wieczorek,

Mathematical models of phytoplankton dynamics

Dynamic Biochemistry, Process Biotechnology and Molecular Biology

Accept.

31

R. Rudnicki,

J.Tiuryn,

D. Wojtowicz

A discrete model of evolution of small paralog families

Mathematical Models and Methods in Applied Sciences, 17(2007), 933-955.

 

32

R. Rudnicki,

K. Pichor

Influence of stochastic perturbation on prey-predator systems

Mathematical Biosciences, 206 (2007), 108-119

 

33

R. Rudnicki,

M. Adioui

A two-dimensional model of animal grouping

Journal of Biologies Systems

Subm.

34

R. Rudnicki,

J. Myjak

On the information dimensions

Bollettino U.M.I.,

N 10-B, (2007), 357-364.

 

35

R. Rudnicki,

J. Myjak

Reinforced walk on graphs and neural networks

Studia Math., 189 (2008), 255-268

 

36

R. Rudnicki,

M. Adioui,

D. Harve

J.P. Treuil

Analytical study of an age-structured mathematical model in the context of forests and farmers interactions

Environmental Modeling and Assessment.

Subm.

37

R. Rudnicki

Models of population dynamics and their applications in genetics

From Genetics to Mathematics,

World Sci. Pub.

 

38

R. Rudnicki

Chaoticity of the blood cell production system

Preprint

 

39

M. Adioui,

R. Rudnicki

Asymptotic behavior of an integro-differential model with a convolution term responsible for agregation process

 

In prep.

 

PDEs

     

40

K. Pileckas

Solvability in weighted spaces of the tree-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity

Topological Methods in Nonlinear

Analysis, 29 (2007), 333-360

41

G.P. Galdi,

K. Pileckas,

A. Silvestre

On the unsteady Poiseuille flow in a pipe

Zeitschrift fur angew. Mathematik

und Physic, 58 (2007), 994-1007

 

42

K. Pileckas

Global solvability in $W^{2,1}_2$-weighted spaces of the two-dimensional Navier-Stokes problem in domains with strip-like outlets to infinity

J. Math. Fluid Mech.,

10, (2008), 272-309.

 

43

K. Pileckas,

W. Zajaczkowski

Global solvability for a large flux of a three-dimensional time dependent Navier-Stokes problem in a straight cylinder

Math. Meth. Appl. Sci., 31 (2008), 1607-1633.

 

44

K. Pileckas,

W. Zajaczkowski

Solvability of the Cauchy problem for the Navier-Stokes equations in R^3 for some class of initial data

Math. Meth. Appl. Sci.,

Accept.

45

J. Renclawowicz,

W. Zajaczkowski

Weak solutions to the Navier-Stokes equations in a Y-shaped domain

Appl. Mathematicae, 33 (2006), 111-127.

 

46

J. Renclawowicz,

W. Zajaczkowski

Large time regular solutions to the Navier Stokes equations in cylindrical domains

Top. Meth. Nonlinear Anal., 32 (2008), 69-87

 

47

J. Renclawowicz,

W. Zajaczkowski

Existence of solutions to the (rot,div)-system in L_2 weighted spaces

Appl. Math.,36 (2009), 83-106 .

 

48

E. Zadrzynska,

W Zajaczkowski

The Cauchy-Dirichlet problem for the heat equation in Besov spaces

Zap. Nauchn. Sem. POMI,

348 (2007), 40-97.

 

49

J. Renclawowicz,

W. Zajaczkowski

Existence of solutions to the Laplace equation in L_2 weighted spaces

Ann. Polon. Math.

Subm.

50

J. Renclawowicz,

W. Zajączkowski

Existence of solutions to the Poisson equation in Lp weighted spaces

Ann. Polon. Math.

Accept.

51

B. Nowakowski,

W. Zajaczkowski

Existence of solutions to the nonstationary Stokes system in H^{2,1}_{-mu}, mu belongs to (0,1), in a domain with a distinguish axis. Part.2.Estimate in the 3d case,

Appl. Math.,34 (2007), 143-167.

 

52

B. Nowakowski,

W. Zajaczkowski

Global existence of solutions to Navier-Stokes equations in cylindrical domains

Appl. Math., 36 (2009), 169-182.

 

53

B. Nowakowski,

W. Zajaczkowski

Global attractor of Navier-Stokes equations in cylindrical domains

Appl. Math., 36 (2009),183-194.

 

54

W. Zajączkowski

Existence of solutions to the (rot-div) system in L2 weighted spaces

Appl. Mat. 36(2009), 83-106

 

55

W. Zajączkowski

Large time existence of solutions to the Navier-Stokes equations in axially symetric domains with inflow and outflow

Functiones et Approximatio 40(2009), 209-250

 

56

G. Lysik

Semilinear heat equations and combinatorial estimates

Ulmer Seminare für Funktional-analysis und Differentialgleichun-gen, Heft 11 (2006), 239 - 245.

 

57

T. Gramchev,

G Lysik

Uniform analytic-Gevrey regularity of solutions to a semilinear heat equation

Banach Center Publ., 81(2008), 213-226.

 

58

T. Gramchev,

G Lysik,

Sharp analytic-Gevrey regularity estimates down to t=0 for solutions to a semilinear heat equations

Differential Integral Equations, 21 (2008), 771-799.

 

59

G. Lysik,

S. Michalik

Formal solutions of semilinear heat equations

J. Math. Anal. Appl., 341 (2008), 372-385.

 

60

G. Lysik

Borel summable solutions of the Burgers equations

Ann. Polon. Math., 95 (2009), 187-197.

 

61

G. Lysik

Formal solutions of Burgers type equations

Functiones Aproximatio, 40 (2009), 33-44.

 

62

G. Łysik

Formal solutions of second order evolution equations

Zeitshrift fur Analysis und Ihre Anwendungen

Subm.

63

G. Lukaszewicz

Pullback attractors and statistical solutions of 2D Navier-Stokes equations

Discrete Contin. Dyn. Syst. Ser. B, 9 (2008), 643—659.

 

64

G. Lukaszewicz

M. Boukrouche

Pullback attractors for 2D Navier-Stokes equations with Tresca boundary condition

Banach Center Publ., 81 (2008), 81-93

 

65

G. Lukaszewicz

Shear flows and their attractors

Lecture Notes in Mathematics (Proc.

"Workshop on Partial Differential Equations and Fluid Mechanics" at Warwick University, 2007).

 

66

G. Lukaszewicz,

A. Tarasinska

On H^1-pullback attractors for non-autonomous micropolar fluid equations in a bounded domain

Nonlinear Analysis, TMA, 71 (2009), 782-788.

 

67

G. Lukaszewicz

On pullback attractors in H^1_0 for nonautonomous reaction-diffusion equations

 

In prep.

68

G. Lukaszewicz

On pullback attractors in Lp for non-autonomous reaction-diffusion equations

 

In prep.

69

Z. Brzeźniak,

T. Caraballo,

J.A. Langa,

Y. Li,

G. Łukaszewicz,

J. Real

Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

 

In prep.

70

P.B. Mucha,

P. Rybka

A new look on equilibrium for Stefan type problems in the plane

SIAM Journal on Mathematical

Analysis, 39(2007), 1120 –1134.

 

71

P. Mucha

Stability of 2D incompressible flows in R3

Preprint

 

72

P. Mucha

Global solutions, structure of initial data and the Navier-Stokes equations

Banach Center Publ., 81 (2008), 277-286

 

73

O. Glass,

P. Mucha

Inviscid limit for the 2D stationary Euler system with arbitrary force in simply connected domain

Applicationes Mathematicae, 35 (2008), 49-67.

 

74

P. Mucha,

P. Rybka

Almost classical solutions of static Stefan type problems involving crystalline curvature

Banach Center Publ., 86 (2009), 223-234.

 

75

J. Escher,

P. Mucha

The surface diffusion flow on rough phase spaces

Preprint

 

76

P. Konieczny,

P. Mucha

Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane

Preprint

 

77

P. Mucha

Transport equation: extension of classical results for div b in BMO

 

Subm.

78

P. Mucha,

M. Pokorny

Weak solutions to equations of steady compressible heat conducting fluids

Mathematical Models and Methods in Applied Sciences

Accept.

79

P. Mucha,

M. Pokorny

On the steady compressible Navier–Stokes–Fourier system

Commun. Math. Phys., 288 (2009), 349-377.

 

80

T. Reginska,

K. Reginski

A Cauchy problem for the Helmholtz equation: application to analysis of l ight propagation in solids

Berichtsreihe des Mathematischen Seminars, Christian-Albrechts-Universitt zu Kiel, 06-4 (2006).

 

81

T. Reginska,

A. Wakulicz

Wavelet moment method for Cauchy problem for the Helmholtz equation

J. Comp. Appl. Math., 223 (2009), 218–229,

 

82

W. Sadowski,

J. C. Robinson

Decay of weak solutions and the singular set of the three dimensional Navier-Stokes equations

Nonlinearity, 20 (2007), 1185-1191;

 

83

B. Bojarski,

Differentiation of measurable functions and Whitney-Lusin type structure theorems

Preprint

 

84

B. Bojarski,

V. Gutlyanski,

V. Ryazanov,

General degenerate Beltrami equation,

Report in

Math.Univ. of Helsinki, Dept. Mat

 
 

Stochastic Processes

     

85

L. Kruk,

J. Lehoczky,

K. Ramanan,

S. Shreve

Heavy traffic analysis for EDF queues with reneging

 

In prep.

86

L. Kucinski

Equivalence of measures corresponding to the Hilbert space valued Levy processes

 

In prep.

87

G.B. Di Masi,

L. Stettner

Ergodicity of filtering process by vanishing discount approach

Systems and Control Letters, 57 (2008), 150 – 157.

 

88

A. Rusinek

Invariant mesures for a class of stochastic evolution equations

Preprint

 

89

Z. Brzezniak,

S. Peszat

Hyperbolic problems with random boundary conditions

Recent Development in Stochastic Dynamics and Stochastic Analysis,

World Scientific,

Accept.

90

S. Peszat

Caglag version of an infinite-dimensional Ornstein-Uhlenbeck process driven by Levy noise

Preprint

 

91

S. Peszat,

A. Talarczyk

Functional central limit theorem for additive funtionals of α-stable processes

Subm.

92

S. Peszat,

T. Tindel

Stochastic heat and wave equations on a Lie group

Stochastic Anal. Appl.

Accept.

93

T. Komorowski,

S. Peszat,

L. Ryzhik

Limit of fluctuations of solutions of Wigner equation

Comm. Math. Phys.

Accept.

94

T. Komorowski,

S. Peszat,

S. Szarek

On ergodicity of some Markov processes

Ann. Probab.,

Accept.

95

T. Komorowski,

M. Cudna

Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient

Studia Mathematica., 189 (2008), 269-286.

 

96

T. Komorowski,

E. Nieznaj

On superdiffusive behavior of a passive tracer in a random flow

Physica D, (2008)

Accept.

97

M. Jara

T. Komorowski,

S. Olla

A limit theorem for an additive functionals of Markov chains

Annals of Applied Probability (2008).

Accept.

98

E.Priola,

J. Zabczyk

On bounded solutions to convolution equations

Proc. AMS.

Accept.

99

E. Priola,

J. Zabczyk

On linear evolution equations with cylindrical Levy noise

Proceedings of a conference on SPDES, Levico, 2008.

 

100

E. Priola,

J. Zabczyk

Structural properties of semilinear spde’s driven by cylindrical stable processes

Probability Theory and Related Fields

Accept.

101

  1. Święch,

J. Zabczyk

Large deviations for stochastic PDE with Levy noise

 

Subm.

102

Z.Brzeźniak,

B.Goldys,

P. Imkeller,

J. Zabczyk

Time irregularity of generalized Ornstein-Uhlenbeck processes

 

Subm.

103

T. Schmidt,

J. Zabczyk

CDO term structure modeling with Levy processes

 

In prep.

104

M. Baran,

J. Zabczyk

Bonds with volatilities proportional to forward rates

 

Subm.

105

M. Zinsmeister,

D.Grebenkov,

K.Kolwankar,

P.Levitz,

B.Sapoval,

Brownian flights over a fractal nest and first-passage statistics on irregular surfaces

Phys. Rev. Lett., 96 (2006),

 

106

M. Zinsmeister,

Stochastik Loewner Evolution

Banach Center Lecture Notes

 
 

Symplectic structures

     

107

W. Domitrz,

S. Janeczko,

M. Zhitomirskii

Symplectic singularities of varieties: the method of algebraic restrictions",

J. Reine Angew. Mathematik., 618 (2008),197-235.

 

108

T. Fukuda,

S. Janeczko

On singularities of Hamiltonian mappings

Banach Center Publications, 82 (2008), 55-69.

 

109

G. Ishikawa,

S. Janeczko

Bifurcations in symplectic space

Banach Center Publications, 82 (2008), 111-124.

 

110

S. Janeczko,

Z. Jelonek

Characterization of diffeomorphisms that are symplectomorphisms

Fund. Math., 205 (2009), 147-160.

 

111

G. Ishikawa,

S. Janeczko

Symplectic invariants of parametric singularities

Preprint IMPAN

 

112

S. Janeczko,

Z. Jelonek

Diffeomorphisms preserving symplectic data on submanifolds

Proc. Steklov Math. Inst. (2009).

 

113

W. Krynski

On contact equivalence of systems of ordinary differential equations,

arXiv:0712.1455v2

[math.CA]

Subm.

114

W. Krynski

Conformal structures and differential equations

 

Subm.

 

Function Spaces

     

115

S. Gogyan

On convergence of Weak Thresholding Greedy Algorithm in L1(0;1)

J. Approximation Theory

Accept.

116

A. Szankowski

Three-space problems for the approximation property

J. Eur. Math. Soc. 11, 273-283

 

117

M. Bodin,

K. Pietruska-Paluba

Harmonic functions on nested fractals

Preprint

 

118

A. Kalamajska,

M. Kruzik

Oscillations and concentrations in sequences of gradients

ESAIM: Control, Optimization and Calculus of Variations

Accept.

119

A. Kalamajska

Lusin type theorem with convex integration and quasiconvex hulls of sets

Journal of Convex Analysis, 16 (2009), 227-237.

 

120

A. Kalamajska,

K. Lira

Maximum modulus principles for radial solutions of quasilinear and fully nonlinear singular P.D.E's

Bulletin of the Belgian Mathematical Society, 14(5) (2007), 157-176.

 

121

A. Kalamajska

Oscillation and concentration effects described by Young measures which control discontinuous functions

Topol. Methods Nonlinear Anal., 31 (2008), 111-138.

 

122

A. Kalamajska

On one method of improving weakly converging sequence of gradients,

Asymptotic Analysis, 62 (2009), 107-123.

 

123

A.Kalamajska,

K. Pietruska-Paluba

Gagliardo-Nirenberg in weighted Orlicz spaces equipped with a not necessarily doubling measure

Bull. Belg. Math. Soc. Simon Stevin, 15 (2008), 217—235.

 

124

A. Kalamajska,

K. Pietruska-Paluba

On a variant of Hardy inequality between weighted Orlicz spaces

Studia Mathematica,

193 (1) (2009), 1-28.

 

125

A. Kałamajska,

M. Krbec

Gagliardo-Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions

Preprint

 

126

G.G. Gevorkyan,

A. Kamont

On the uniquness of series with respect

to general Franklin systems.

 

Subm.

127

A. Kamont,

P.F.X. Muller,

Rearrangements with supporting trees and combinatorics of colored dyadic intervals.

 

In prep.

128

P. Strzelecki,

M. Szumanska,

H. von der Mosel

 

A geometric curvature double integral for space curves involving Menger curvature

Ann. Acad. Sci. Fenn. Math., 34 (2009), 195--214.

 

129

T. Adamowicz,

A. Kalamajska

On a variant of the maximum principle involving radial p-Laplacian with applications to nonlinear eigenvalue problems and nonexistence results

Topological Methods in Nonlinear Analysis.

Subm.

130

A.Koldobsky,

A.Pajor,

V.Yaskin

 

Inequalities of the Khinchin type and sections of Lp-ball

Studia Math., 184 (2008), 217-231.

 

131

A.Koldobsky,

H.Konig,

M.Zymonopoulou

The complex Busemann-Petty problem on sections of convex bodies

Adv. Math., 218 (2008), 352-367

 

132

T. Figiel,

W. B. Johnson,

A. Pelczynski,

Some approximation properties of Banach spaces and Banach lattices,

Israel J. Math

Accept.

133

M. Wojciechowski

Bounded approximation property of the spaces of functions of bounded variation

Preprint

 

134

M. Wojciechowski

Bounded Approximation Property of Sobolev spaces on arbitrary planar domains

Preprint

 

135

M. Wojciechowski

On the roots of the Fourier transform of singular measures

In prep.

136

V. Fonf,

A. Pelczynski,

P. Wojtaszczyk,

Properties of the Gurariy space

In prep.

137

P. Wojtaszczyk

Stability of l_1 minimisation in compressed sensing

inria-00369340, version 1, 19 Mar 2009.

138

P. Wojtaszczyk

Stability and instance optimality for Gaussian measurements in compressed sensing

Found. Comput. Math.

Accept.