Publikacje

Piotr Mormul

Liczba publikacji: 37

2023

• Piotr Mormul , Singularity classes of special multi-flags, I, Proceedings of the International Geometry Center, 16 (2) 2023, s. 142-160. Zobacz w PBN

2022

• Piotr Mormul , Monster towers from differential and algebraic viewpoints, Journal of Singularities, 25 2022, s. 331 - 347. Zobacz w PBN

2020

• Wojciech Domitrz, Piotr Mormul , Piotr Pragacz, Order of Tangency Between Manifolds, International festival of schubert calculus, Guangzhou, China, 6 listopada 2017 - 10 listopada 2017. Zobacz w PBN
• Piotr Mormul , Fernand Pelletier, Symmetries of special 2-flags, Journal of Singularities, 21 2020, s. 187-204. Zobacz w PBN

2019

• Piotr Mormul , Articulated arms in the 3D space and the local nilpotentizability of the underlyig rank-3 distribution, XIII Vserossijskoe Soveŝanie po Problemam Uravleniâ, Moskva, the Russian Federation, 17 czerwca 2019 - 20 czerwca 2019. Zobacz w PBN

2014

• Piotr Mormul , A single nilpotent approximation for a family of nonequivalent distributions, Journal of Mathematical Sciences: Advances and Applications, 26 2014, s. 1-27. Zobacz w PBN
• Piotr Mormul , Car + trailers' kinematical systems, and the local nilpotentizability of the underlying rank-2 distributions, XII Vserossijskoe Soveschanije po Problemam Upravlenija, Moskwa, the Russian Federation, 16 czerwca 2014 - 19 czerwca 2014. Zobacz w PBN

2009

• Piotr Mormul , Singularity classes of special 2-flags, Symmetry, Integrability and Geometry - Methods and Applications, 2009. Zobacz w PBN

2005

• Piotr Mormul , Kumpera-Ruiz algebras in Goursat flags are optimal in small lengths, Journal of Mathematical Sciences, 2005. Zobacz w PBN
• Piotr Mormul , Real moduli in local classification of Goursat flags, Hokkaido Mathematical Journal, 2005. Zobacz w PBN
• Piotr Mormul , Special 2-flags, singularity classes, and polynomial normal forms for them, 2005. Zobacz w PBN

2004

• Piotr Mormul , Geometric classes of Goursat flags and the arithmetics of their encoding by small growth vectors, Central European Journal of Mathematics, 2004. Zobacz w PBN
• Piotr Mormul , Minimal nilpotent bases for Goursat distributions of coranks not exceeding six, ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA, 2004. Zobacz w PBN
• Piotr Mormul , Multi-dimensional Cartan prolongation and special k-flags, BANACH CENTER PUBLICATIONS, 2004. Zobacz w PBN

2003

• Piotr Mormul , Goursat distributions not strongly nilpotent in dimensions not exceeding seven, 2003. Zobacz w PBN

2002

• Piotr Mormul , Discrete models of codimension-two singularities of Goursat flags of arbitrary length with one flag's member in singular position, Proceedings of the Steklov Institute of Mathematics, 2002. Zobacz w PBN
• Piotr Mormul , Superfixed positions in the geometry of Goursat flags, ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA, 2002. Zobacz w PBN

2000

• Piotr Mormul , Contact hamiltonians distinguishing locally certain Goursat systems, BANACH CENTER PUBLICATIONS, 2000. Zobacz w PBN
• Piotr Mormul , Fernand Pelletier, Controlabilite par courbes par morceaux anormales et lisses d'une distribution de rang 3 generique sur des varietes connexes de dimension superieure a 6, 2000. Zobacz w PBN
• Piotr Mormul , Examples of exotic moduli in local classification of Goursat flags, ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA, 2000. Zobacz w PBN
• Piotr Mormul , Goursat flags: classification of codimension-one singularities, Journal of Dynamical and Control Systems, 2000. Zobacz w PBN
• Piotr Mormul , The strange nongenericness of codimension 1 differential systems in dimension 4 revisited, Bulletin of the Polish Academy of Sciences. Mathematics, 2000. Zobacz w PBN

1999

• Mohamad Cheaito, Piotr Mormul , Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8, ESAIM - Control, Optimisation and Calculus of Variations, 1999. Zobacz w PBN

1998

• Mohamad Cheaito, Piotr Mormul , William Pasillas-Lepine, Witold Respondek, On local classification of Goursat structures, Comptes Rendus de l'Academie des Sciences Series I Mathematics, 1998. Zobacz w PBN

1997

• Piotr Mormul , Fernand Pelletier, Controlabilite complete par courbes anormales par morceaux d'une distribution de rang 3 generique sur des varietes connexes de dimension 5 et 6, Bulletin of the Polish Academy of Sciences. Mathematics, 1997. Zobacz w PBN

1996

• Piotr Mormul , Fernand Pelletier, Controlabilite par des courbes anormales des distributions de rang 3 sur les varietes de dimension 5 et 6, Comptes Rendus de l'Academie des Sciences Series I Mathematics, 1996. Zobacz w PBN
• Piotr Mormul , Michail Zhitomirskii, Modules of vector fields, differential forms, and degenerations of differential systems, Israel Journal of Mathematics, 1996. Zobacz w PBN

1994

• Piotr Mormul , Michail Zhitomirskii, The structure of the set of singular points of a codimension 1 differential system on a 5-manifold, Transactions of the American Mathematical Society, 342 (2) 1994, s. 619 - 629. Zobacz w PBN

1988

• Piotr Mormul , Singularities of triples of vector fields on $R^4$: the focusing stratum, Studia Mathematica, 91 1988, s. 241 - 273. Zobacz w PBN

1983

• Piotr Mormul , Singularities of triples of vector fields on $R^4$, Bulletin of the Polish Academy of Sciences. Mathematics, 31 (1-2) 1983, s. 41 - 49. Zobacz w PBN

Inne

• Piotr Mormul , Do moduli of Goursat distributions appear on the level of nilpotent approximations?, , s. 229-246. Zobacz w PBN
• Piotr Mormul , Exotic moduli of Goursat distributions exist already in codimension three, Real and Complex Singularities, Contemporary Mathematics 459. Zobacz w PBN
• Robert Roussarie, Piotr Mormul , Geometry of Triples of Vector Fields in R4, Singularities and Dynamical Systems, , s. 89-98. Zobacz w PBN
• Piotr Mormul , Local classification of rank-2 distributions satisfying the Goursat condition in dimension 9, , s. 89 - 119. Zobacz w PBN
• Wojciech Domitrz, Piotr Pragacz, Piotr Mormul , Order of Tangency Between Manifolds, Schubert Calculus and Its Applications in Combinatorics and Representation Theory, , s. 27-42. Zobacz w PBN
• Piotr Mormul , Small growth vectors of the compactifications of the contact systems on J r (1,1), Real and Complex Singularities, Contemporary Mathematics 569, , s. 123 - 141. Zobacz w PBN
• Piotr Mormul , Sai-a Lee, Valuations, and moduli of Goursat distributions, , s. 251-270. Zobacz w PBN