List of Abstracts

Contents:

• Plenary talks
• section “Mathematical Logic, Algebra, and Combinatorics”
• section “Geometry and Topology”
• section “Analysis”
• section “Differential Equations and Mathematical Physics”
• section “Applied Mathematics”
• section “Mathematical Aspects of Computer Science”
• section “Mathematics Education and History of Mathematics”
• mini-symposium “Mathematical Modelling and Scientific Computing”
• mini-symposium “Nonlinear Waves and Integrability”
• mini-symposium “Optimal Codes and Related Topics”
• mini-symposium “Topology”

 

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Plenary talks

• Vestislav Apostolov. The Generalized Kähler Geometry of Holomorphic Symplectic Manifolds
• Pavel Bochev, Marta D’Elia, Mauro Perego, Kara Peterson, Denis Ridzal. Optimization-Based Property Preserving Methods, or Going Boldly Beyond Compatible Discretizations
• Kiril Datchev. Wave Asymptotics for Manifolds with Cylindrical Ends
• Emil Horozov. Automorphisms of Algebras, Multiple Orthogonal Analogs of Classical Orthogonal Polynomials and Bi-orthogonal Ensembles
• Jean Jacod. Statistics for High-frequency Observations of a Stochastic Process
• Ludmil Katzarkov. Lattices, Filtrations and Some Applications
• Nikolai Nikolov. Boundary Behavior of Invariant Metrics in Complex Analysis
• Hristo Sendov. Stronger Rolle’s Theorem for Complex Polynomials
• Plamen Stefanov. Local and Global Boundary Rigidity
• Yuri Tschinkel. Rationality Problems
• Nikolay Tzvetkov. Weak Turbulence for the Nonlinear Schroedinger Equation: a Connection between the Scattering Theory and the Arnold Diffusion
• Efim Zelmanov. Infinite Dimensional Algebras and Superalgebras
• Ludmil Zikatanov. Operator Preconditioning: Theory, Practice, and Robustness

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section “Mathematical Logic, Algebra, and Combinatorics”

invited talks

• Leonid Bedratyuk. Some Applications of Classical Invariant Theory to Combinatorics
• Iliya Bouyukliev. Hadamard Matrices and Cryptographic Properties of Boolean Functions
• Antonio Giambruno. Central Polynomials versus Polynomial Identities
• Petar Iliev. An Introduction to Lower Bounds on Formula-size in Modal Logic
• Martin Kassabov. Tricks with Amenable Groups
• Mikhail Zaicev. Codimension Growth of Solvable Lie Superalgebras

communications

• Khristo Boyadzhiev. The Binomial Transform and Euler’s Series Transformation
• İbrahim Canak, Ümit Totur, Zerrin Önder. On Tauberian Theorems for Cesàro Summable Double Sequences of Fuzzy Numbers
• Ivan Chipchakov. On the Brauer p-dimension of a Henselian Discrete Valued Field of Prime Residual Characteristic p
• Dimiter Dobrev. Incorrect Moves and Testable States
• Vesselin Drensky. Bicommutative Algebras
• Şehmus Fındık. Approximation of the CBH Formula in Various Relatively Free Lie Algebras
• Islem Ghaffor. Counting Twin Primes
• Islem Ghaffor. An Equivalent Problem to the Collatz Conjecture
• Dimitar Guelev. Shifting Coalitions in Games with Preference-ordered Temporal Objectives
• Elitza Hristova. Decomposition of Cohomology of Vector Bundles on Homogeneous Ind-spaces
• Hristo Iliev. Supperabundant Components of the Hilbert Scheme of Curves Using Double Covers of Irrational Curves
• Daniela Nikolova-Popova, Luise-Charlotte Kappe, Eric Swartz, Spyros Magliveras, Michael Epstein. On the Covering Number of Small Symmetric, and Alternating Groups, and Some Sporadic Simple Groups
• Özen Özer. Calculation of Fundamental Unit for a Especial Type of Real Quadratic Number Fields
• Zhivko Petrov. On an Equation Involving Fractional Powers with Prime Numbers of a Special Type
• İbrahim Şentürk, Tahsin Oner. A New View on Intermediate Syllogisms

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section “Geometry and Topology”

invited talks

• Giuseppina Barbieri, Dikran Dikranjan, Anna Giordano Bruno, Hans Weber. Dirichlet Sets and Arbault Sets of the Circle Group
• Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey, Xabier Valle-Regueiro. Quasi-Einstein Manifolds
• David Calderbank. Toric Contact Geometry in Arbitrary Codimension
• Mitrofan Choban. Baire Spaces and Compactness
• Slawomir Dinew. Geometry of Minimum Sets of Strictly Plurisubharmonic Functions
• Bogdan Georgiev. Some Recent Estimates on Nodal Geometry in the High-energy Limit
• Valentin Gutev. Selections and Deleted Symmetric Products
• Todor Milanov. The Period Map for Quantum Cohomology of P²
• Ivan Minchev. The Yamabe Equation on 3-Sasakian Manifolds
• Tony Pantev. Foliations, Symplectic Structures, and Potentials
• Luigi Vezzoni. The Calabi-Yau Problem on the Kodaira-Thurston Manifold

communications

• Yana Aleksieva, Georgi Ganchev, Velichka Milousheva. Lorentz Surfaces with Parallel Normalized Mean Curvature Vector Field in Pseudo-Euclidean 4-Space with Neutral Metric
• Joseph Bak, Strashimir Popvassilev. The Evolution of Cauchy’s Closed Curve Theorem and Newman’s Simple Proof
• Cornelia-Livia Bejan, Ilhan Gul. Metrics on the Cotangent Bundle of a Weyl Manifold
• Viktoria Bencheva. Curvature of a Barycentric Curve and Applications to Trajectories of Rational Bézier Curves
• Sinem Güler, Sezgin Altay Demirbağ. m-Quasi Einstein Spacetime and Its Applications
• Krasimir Kanchev, Georgi Ganchev. Canonical Weierstrass Representations for Minimal Surfaces in Four-dimensional Euclidean or Minkowski Space
• Alev Kelleci, Mahmut Ergut, Nurettin Cenk Turgay. Geometrical Properties of Surfaces Endowed with a Canonical Principal Direction in the 4-dimensional Euclidean Space
• Hristo Manev. Almost Contact B-metric Structures and the Bianchi Classification of the Three-dimensional Lie Algebras
• Nurettin Cenk Turgay. On the Gauss Map of Lorentzian Surfaces with Zero Mean Curvature in Semi-Riemannian Space-forms of Arbitrary Dimension
• Milan Zlatanović, Stefan Ivanov. Connections on a Non-symmetric (Generalized) Riemannian Manifold

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section “Analysis”

invited talks

• Hristo Djidjev. Solving Optimization Problems Using Quantum Annealing
• Peter Dragnev, David Benko, Dan Coroian, Ramon Orive. Biased Coin Toss and Nash Equilibrium
• Atanas Stefanov, Vladimir Georgiev. On the Classification of the Spectrally Stable Standing Waves of the Hartree Problem
• Vern Paulsen, Simone Severini, Dan Stahlke, Ivan Todorov, Andreas Winter. An Operator Algebraic Approach to Non-signalling Correlations

communications

• Galina Borisova, Steliana Atanasova. Nonselfadjoint Operators, Triangular Models, and the Soliton Theory
• Jasmina Veta Buralieva, Katerina Hadzi-Velkova Saneva, Sanja Atanasova. The Stockwell Transform and Asymptotic Behavior of Distributions
• Miroslav Hristov. Bourgain Algebras of Subalgebras of A(Đ) on the Unit Disk
• Lubomir Markov. Representation of Certain Euler-type Sums via Values of the Riemann Zeta Function
• Özen Özer, Zubair Nisar. A Study on Fixed Points for Locally Contractive Mappings in a Complete G_d-metric Like Spaces
• Martin Stanev. Log-Convexity of Weighted Area Integral Means of H^p Functions on the Upper Half-plane

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section “Differential Equations and Mathematical Physics”

invited talks

• Alexander Pushnitski. Perturbation Theory for Functions of Self-adjoint Operators
• Georgi Raikov. Pauli Operators with Almost Periodic Magnetic Fields
• Boyan Sirakov. A Priori Bounds for Elliptic Differential Inequalities via Regularity Estimates
• Milena Stanislavova. Periodic Traveling Waves of the Short Pulse and Ostrovsky Equations: Existence and Stability
• Stepan Tersian. Multiplicity of Periodic Solutions for 2n^th-order p-Laplacian Differential Equations
• Peter Topalov. Spatial Asymptotic Expansions in the Incompressible Euler Equation

communications

• Georgi Boyadzhiev, Nikolay Kutev. Comparison Principle for Weakly-coupled Non-cooperative Elliptic and Parabolic Systems
• Alexander Fabricant, Nikolai Kutev, Tsviatko Rangelov. Estimates from Below for the First Eigenvalue of the p-Laplacian
• David Jerison, Nikola Kamburov. The Space of One-phase Free Boundary Solutions in the Plane
• Vesselin Vatchev. On Multisoliton Solutions and Solitons Interactions

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section “Applied Mathematics”

invited talks

• Beiping Duan, Bangti Jin, Raytcho Lazarov, Joseph Pasciak, Zhi Zhou. Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems
• Milen Ivanov, Nadia Zlateva. Long Orbit or Empty Value Principle, Fixed Point and Surjectivity Theorems
• Svetozar Margenov. Solvers of Optimal Complexity: from Sparse SPD Systems to a Class of Non-Local Problems
• Maxim Todorov. Generalization of the Concept of Motzkin Decomposable Closed Convex Sets
• Viktor Todorov. Nonparametric Option-Implied Volatility

communications

• Sertan Alkan, Kenan Yildirim. Numerical Solutions of a Coupled Systems of Fractional Integro-differential Equations
• Mohammed Beggas, Haiour Mohamed. L∞-error Estimate of Schwarz Method for Generalized Elliptic Quasi-variatinal Inequalities
• Lourabi Hariz Bekkar, Abdelouahab Mansour. On Solvability of Sylvester Equation via Coupled Fixed Point
• Mariia Beliaeva. Mathematical Problems in Cancer Research
• Said Beloul. A Common Fixed Point Theorem for Weakly Compatible Mappings Satisfying Generalized Condition (B) in Metric-like Spaces
• Mira Bivas. A Nonautonomous Olech Type Result
• Aleksandar Cvetković, Gradimir Milovanović, Nevena Vasović. Differential Equation for a Class of Orthogonal Polynomials
• Mihail Hamamdjiev, Milen Ivanov. New Multirectional Mean Value Inequality
• Gleb Haynatzki. Statistical model of Microenvironment-Dependent Carcinogenesis: Estimation and Applications
• Ozlem Ersoy Hepson, Alper Korkmaz. Higher Order Trigonometric B-spline Approximates
• Mark Iwen. Sparse Fourier Transforms: A General Framework with Extensions
• Krasimira Kostadinova, Leda Minkova. A Generalization of the Pólya Process
• Meglena Lazarova, Leda Minkova. Noncentral Pólya–Aeppli Process and Applications
• Natalya Litvinenko. Estimation of Psychological Personality Factors by Combining Different Tests. Bayesian Networks
• Radoslav Mavrevski. Performance Comparison of Model Selection Criteria by Generated Experimental Data
• Penka Mayster, Jivka Slavkova. The Moments of Subordinated Lévy Processes
• Georgi Mitsov. Discontinuous Petrov-Galerkin Methods for the Time-dependent Maxwell Equations
• Iva Rashkova, Jérémie Gallien. Public Procurement of Multiple Health Products: The Dynamic Inventory Budget Allocation Problem
• Fatima Sapundzhi. Scoring Functions for Molecular Docking Studies
• Ana Staneva. Statistical Inference of Multitype Branching Processes with Markov Chain Monte Carlo Methods
• Yavor Stoev. Martingale Optimal Transport with Stopping
• Diana Stoeva. Invertibility of Frame Multipliers and Formulas for the Inverses
• Valentin Todorov, Maria Anna Di Palma, Michele Gallo. Visual Tools for Three-way Analysis
• Metodi Traykov. Algorithms for Proteins Folding Prediction: 3D Cubic Lattice in HP Model
• Krassimira Vlachkova. Comparing Bezier Surfaces for Coincidence
• Kenan Yildirim. A Nonlinear Plate Control without Linearization

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section “Mathematical Aspects of Computer Science”

invited talks

• Plamen Koev. New Expressions for the Extreme Eigenvalues of Betа Random Matrices

communications

• Lyubomir Filipov, Zlatko Varbanov. Fuzzy Matching of Strings
• Malinka Ivanova. Contemporary Cryptographic Methods for Secure Web Services
• Negoslav Sabev. Introduction to Requirements and Evaluation of WEB Accessibility
• Zlatko Varbanov, Maya Hristova. Constructing DNA Codes by Additive Self-dual Codes

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section “Mathematics Education and History of Mathematics”

invited talks

• Rumena Kaltinska. Virtual Museum “Mathematics and Informatics in Bulgaria”

communications

• Toni Chehlarova, Petar Kenderov. Toni Chehlarova, Petar Kenderov. Two Online Competitions in Support of Inquiry Based Mathematics Education
• Bulent Gaytanlı, Guner Ilıcan. A Web-based Application in Teaching Mathematics to Secondary School Students
• Guner Ilıcan. A Web-based Teaching of Quadratic Functions
• Petar Kenderov, Toni Chehlarova. Extending the Class of Mathematical Problems Considered in School Education
• Mariche Lazarovska, Hristina Leova. Solving Real-life Problems for Increasing the Motivation of Students in Learning Mathematics
• Tanya Otsetarova, Kristian Georgiev, Konstantin Delchev. Results on Tilings with Walkup Structure and Their Properties
• Tsvetelina Petrova-Ruseva. The Synergistic Idea of Self-training and Self-educating Realized in the System Jump Math
• Jordan Tabov, Borislav Lazarov. Wasan Under a Historical Inversion

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mini-symposium “Mathematical Modelling and Scientific Computing”

• Phillippe Angot. Mathematical Modelling Towards the Open Problem of Incompressible Viscous Flow at a Fluid-porous Interface
• Owe Axelsson, Dalibor Lukáš. Preconditioning Methods for Eddy Current Optimally Controlled Time-harmonic Electromagnetic Problems
• Sina Baghsorkhi, Nikolay Ikonomov, Sergey Suetin. A New Framework for Numerical Analysis of Nonlinear Systems: the Significance of the Stahl’s Theory and Analytic Continuation via Padé Approximants
• Ivan Bazhlekov, Emilia Bazhlekova. Fractional Derivative Model for Diffusion-controlled Adsorption at Liquid/Liquid Interface
• Emilia Bazhlekova, Ivan Bazhlekov. Subordination Approach to Time-fractional Diffusion-wave Equation of Distributed Order
• Alexander Ern. Analysis of the Edge Finite Element Approximation of the Maxwell Equations with Low Regularity Solutions
• Daniela Georgieva, Lubomir Kovachev. Mathematical Modelling of the Processes of Generation, Interaction and Reduction of Optical Filaments
• Jean-Luc Guermond, Bojan Popov. Invariant Domain Approximations of Nonlinear Hyperbolic Systems
• Stanislav Harizanov, Ivan Lirkov, Ivan Georgiev. Advanced CT Data Processing: Denoising and Feature Extraction
• Ivan Hristov, Stefka Dimova, Radoslava Hristova. Numerical Simulation of 2D Sine-Gordon Waves
• Natalia Kolkovska, Veselina Vucheva. Finite Difference Schemes for Sixth Order Boussinesq Equation
• Nikolai Kutev, Milena Dimova, Natalia Kolkovska. Necessary and Sufficient Conditions for Finite Time Blow up of the Solutions to Boussinesq Equation
• Yanping Lin. Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents
• Peter Minev, Petr Vabishchevich. Splitting Schemes for Unsteady Problems Involving the Grad-div Operator
• Maya Neytcheva. Experiences in Solving Discrete PDE-constrained Optimization Problems
• Peter Rashkov. Phase-plane Analysis of a Model for Cross-feeding in a Chemostat
• Maroussia Slavtchova-Bojkova, Kaloyan Vitanov. Statistical Inference in Branching Processes and Applications in Cancer Recurrence

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mini-symposium “Nonlinear Waves and Integrability”

• Ricardo Carretero-González. Small Vortex Clusters in Bose-Einstein Condensates: Theory and Experiments
• Vladimir Gerdjikov. Two-component NLS equations: Hamiltonian Properties and Generalized Fourier Transforms
• Georgi Grahovski, Vladimir Gerdjikov, Rossen Ivanov. Integrable Nonlocal Multi-component Equations with PT and CPT Symmetries
• Rossen Ivanov. Soliton and Cuspon Solutions of the Camassa-Holm Equation
• Dimitar Mladenov. Bianchi Cosmological Models and Generalized Toda Lattices
• Aleksander Stefanov, Vladimir Gerdjikov. New Examples of Two-component NLS Equations
• Nikola Stoilov, Christian Klein. Numerical Study of Gradient Catastrophe Stability in Integrable Dispersive Equations
• Michail Todorov. Long-time Dynamics and Interaction of Ultrashort Light Pulses

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mini-symposium “Optimal Codes and Related Topics”

• Tsonka Baicheva, Miroslav Dimitrov. Cryptanalysis on Short Messages Encrypted with M-138 Cipher Machine
• Tsonka Baicheva, Svetlana Topalova. On the Size of Optimal Strongly Conflict-avoiding Codes for 3, 4 and 5 Active Users
• Valentin Bakoev. Fast Implementation of the ANF Transform
• Leonid Bassalygo, Vladimir Lebedev, Victor Zinoviev. On m-specially Resolvable BIB Designs and q-ary Constant Weight Codes
• Galina Bogdanova, Galya Georgieva-Tsaneva, Todor Todorov. Provision of Safety of Interactive Systems – Problems and Solutions
• Nanami Bono, Tatsuya Maruta. Some New 4-dimensional Linear Codes
• Iliya Bouyukliev, Maya Hristova. A Method for Construction of Orthogonal Arrays
• Iliya Bouyukliev, Paskal Piperkov. On Walsh Transform and Matrix Factorization
• Stefka Bouyuklieva, Iliya Bouyukliev. Dual Transform through Characteristic Vectors
• Rumen Daskalov, Elena Metodieva. On the Construction of Small (l,t)-blocking Sets in PG(2,q)
• Alexander Davydov, Stefano Marcugini, Fernanda Pambianco. Upper Bounds on the Smallest Size of an Almost Complete Cap in PG(N,q)
• Alexander Davydov, Stefano Marcugini, Fernanda Pambianco. Further Results on Binary Codes Obtained by Doubling Construction
• Mariya Dzhumalieva-Stoeva, Venelin Monev. An Implementation of Hash Table for Classification of Combinatorial Objects
• Maya Fujii, Tatsuya Maruta. Nonexistence of Some Griesmer Codes of Dimension 4 over F₈
• Douglas Hardin. Next Levels Universal Lower Bounds – Lifting the Levenshtein Framework
• Lisa Hernandez Lucas, Ivan Landjev, Leo Storme, Peter Vandendriessche. On the Geometrical Sunflower Bound
• Sven Müelich, Martin Bossert. Applying Convolutional Codes to Key Extraction Using Ring Oscillator PUFs
• Dmitry Osipov, Dmitry Titov. Sequential Decoding on Syndrome Trellises for Nonparametric Detection
• Sven Puchinger, Sven Müelich, Martin Bossert. On the Success Probability of Decoding (Partial) Unit Memory Codes
• Vincent Rijmen, Liliya Kraleva, Nikolai Manev. Correlation Distribution Analysis of a Two Round Key-alternating Block Cipher
• Assia Rousseva. Upper and Lower Bounds on the Size of t-fold Affine Blocking Sets
• Edward Saff. Universal Lower Bounds on Energy of Spherical Codes
• Michael Schelling, Martin Bossert. Code Constructions Based on Reed-Solomon Codes
• Zlatko Varbanov, Maya Hristova. New Lower Bounds for the Number of ACG Codes over F₄
• Nikolay Yankov, Damyan Anev. New Self-dual [78, 39, 14] Codes an Automorphism of Order 13
• Stela Zhelezova. A Method for Constructing Splitting (v,u x c, λ) BIBDs
• Dmitrii Zinoviev, Victor Zinoviev. On the Spherical Code (4; ρ; 9)

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mini-symposium “Topology”

• Stoyu Barov, Jan Dijkstra. A Relation Between Exposed Points and Extremal Points of Convex Sets
• Dikran Dikranjan. On a Theorem of Prodanov
• Themba Dube. When Does Booleanization Commute with Lindelöfication in the Category of Locales?
• Valentin Gutev. Scattered Spaces and Selections
• Atanas Hamamjiev, Vladimir Todorov. “Pathological” Cantor Manifolds – II
• Strashimir Popvassilev, John (Ted) Porter. Monotone Covering Properties
• Nikita Shekutkovski. Intrinsic Approach to Shape and Applications
• Simeon Stefanov. An Invariant Counting the Number of Critical Points
• Vesko Valov, Konstantin Kozlov. Spectral Representations of Topological Groups