# Publishing house / Banach Center Publications

## Banach Center Publications

• Introduction
• Fractal analysis in digital histology
• Multifractal formalism in image and time series analysis
• $p$-adic numbers: from superstrings and molecular motors to cognition and psychology
• New mathematics of complexity and its biomedical applications
• On a generalization of Lissajous curves and its applications
• Bethe Ansatz, Galois symmetries, and finite quantum systems
• Current challenges for biometric security, with focus on fingerprints
• A numerical method to differentiate between “pure” and “impure” fractals
• Statistical mechanics approach in the counting of integer partitions
• On computer-aided fractal analysis of growth processes at tumor-stroma border
• The circular fractal model of adenocarcinomas and tumor aggressiveness
• On Hamilton–Poincaré field equations
• Revisiting Lie integrability by quadratures from a geometric perspective
• A quantum route to Hamilton–Jacobi equation: comments and remarks
• New developments in geometric mechanics
• Symplectic space forms and submanifolds
• Covariant Hamiltonian first-order field theories with constraints, on manifolds with boundary: the case of Hamiltonian dynamics
• Central extensions of Lie algebras of symplectic and divergence free vector fields
• Proof of Positive Energy Theorem by spacetime foliations
• Wigner function of a qubit
• Multiplicativity, from Lie groups to generalized geometry
• Nonabelian omni-Lie algebras
• The works of William Rowan Hamilton in geometrical optics and the Malus–Dupin theorem
• Tulczyjew mechanics for particles in gauge fields
• Towards integration on colored supermanifolds
• Geometry of variational partial differential equations and Hamiltonian systems
• Noether’s theorems in a general setting. Reducible graded Lagrangians
• Logic of differential calculus and the Zoo of geometric structures
• Double extension for commutative $n$-ary superalgebras with a skew-symmetric invariant form
• Cosymplectic-Nijenhuis structures on Lie groupoids
• Introduction to compact and discrete quantum groups
• Actions of compact quantum groups
• Quantum isometries, noncommutative spheres and related integrals
• Infinite tensor product actions of compact quantum groups
• Locally compact quantum groups
• Approximation properties for locally compact quantum groups
• Diffusion determines the compact manifold
• Problems and conjectures in matrix and operator inequalities
• Extrapolation of $L^p$ maximal regularity for second order Cauchy problems
• On convergence of power series of $L_p$ contractions
• An explicit bound for the Poincaré constant on a Lipschitz domain
• Some results on combined matrices
• Inverses of semigroup generators: a survey and remarks
• Ten questions in linear dynamics
• Abstract extensions of functional calculi
• Complexity issues in computing spectra, pseudospectra and resolvents
• Matrix intersection problems for conditioning
• On time regularity properties of bounded linear operators
• The cohomological equations in nonsmooth categories
• The recent status of the volume product problem
• Microspectral analysis of quasinilpotent operators
• From the strict Chebyshev approximant of a vector to the strict spectral approximant of a matrix
• The origins of seminar Sophus Lie—a keynote address to the 50th session of Seminar Sophus Lie
• Non-abelian gradings of Lie algebras
• Topological aspects of group $C^*$-algebras
• Lie Calculus
• Inhomogeneous Kleinian singularities and quivers
• Recent advances on Lie systems and their applications
• Projections of orbital measures for the action of a pseudo-unitary group
• Multiplicative loops of topological quasifields
• The Berezin form on symmetric $R$-spaces and reflection positivity
• $\mathbb CP^{N}$ sigma models via the $\mathbf{SU}(2)$ coherent states approach
• Elliptic operators in the bundle of symmetric tensors
• The deformation quantisation mappingof Poisson to associative structuresin field theory
• Geometric features of Vessiot–Guldberg Lie algebras of conformal and Killing vector fields on $\mathbb{R}^2$
• The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups
• An introduction to completely exceptional second order scalar partial differential equations
• Antiunitary representations and modular theory
• Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds
• Higher algebra over the Leibniz operad
• Spherical functions on spheres of rank two
• Lectures on structural stability in dynamics
• Stability and bifurcations in projective holomorphic dynamics
• Some topological characterizations of rational maps and Kleinian groups
• Dynamics of the scenery flow and conical density theorems
• Hyperbolic systems, zeta functions and other friends
• Fractal percolations
• Introductory lectures on topological quantum field theory
• Lecture notes on two-dimensional defect TQFT
• An invitation to 2D TQFT and quantization of Hitchin spectral curves
• Bundle gerbes for topological insulators
• Order eight non-symplectic automorphisms on elliptic K3 surfaces
• Hyperplane arrangements associated to symplectic quotient singularities
• Hodge numbers of generalised Borcea–Voisin threefolds
• Curve configurations in the projective plane and their characteristic numbers
• Survey of finiteness results for hyperkähler manifolds
• Asymptotics of linear systems, with connections to line arrangements
• Geometric aspects of Newton–Okounkov bodies
• Nagata type statements
• Geometry of Lagrangian Grassmannians and nonlinear PDEs
• Introduction to exterior differential systems
• Involutive tableaux, characteristic varieties, and rank-one varieties in the geometric study of PDEs
• Projective duality and non-degenerated symplectic Monge–Ampère equations
• Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems
• Kronecker webs, Nijenhuis operators, and nonlinear PDEs
• Lie Sphere Geometry in $\mathbf R^3$
• Surfaces in Laguerre geometry
• On large values of Hardy’s function $Z(t)$ and its derivatives
• On the Rankin–Selberg convolution of degree 2 functions from the extended Selberg class
• The modular distribution of Stern’s sequence
• Super-positivity of a family of L-functions
• Twin primes via exceptional characters
• Some generating functions of the Riemann zeta function
• The Lerch zeta function as a fractional derivative
• Orders of Tate–Shafarevich groups for the cubic twists of $X_0(27)$
• A Cesàro average for an additive problem with prime powers
• Explicit average orders: news and problems
• Sums of two numbers having only prime factors congruent to one modulo four
• Which sets are sets of lengths in all numerical monoids?
• Even ascending powers
• Some new density theorems for Dirichlet $L$-functions
• Computationally classifying polynomials with small Euclidean norm having reducible non-reciprocal parts

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