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 |
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. |