Research for real decisions.

Meromorphic is a team of researchers based in Plovdiv, Bulgaria. We apply mathematical research to problems in business operations, engineering and technology development.

Our background combines mathematical analysis, economic modelling and scientific computation. That depth supports both the formulation of a difficult problem and the development of a working solution.

Fields of expertise

  1. Optimization and decision science

    Resource allocation, scheduling, network decisions and planning under uncertainty.

  2. Mathematical analysis and modelling

    Fixed point theory, equilibrium models, differential equations and inverse problems.

  3. Scientific computing and AI

    Numerical simulation, statistical inference and algorithms that connect data to decisions.

Selected publications

  1. Preprint 2026

    Equilibrium in the Canonical Stackelberg Triopoly via Response Functions and Fixed Point Theory

    Response-function and fixed-point analysis of equilibrium in a canonical Stackelberg triopoly.

    Anton Badev, Martin Pavlov, Boyan Zlatanov

    arXiv:2604.26487. Under review at Decisions in Economics and Finance.

    Read on arXiv

  2. Preprint 2026

    A Failed Cartel: When Collusive Firms Become Competitors

    A model of competition that emerges when one firm leaves a cartel.

    Anton Badev, Vanya Ivanova, Diana Nedelcheva, Martin Pavlov, Boyan Zlatanov

    Preprints.org manuscript 202608.0988 (2026).

    Read the preprint

  3. Preprint 2026

    Equilibrium in a Failed Cartel: Set-Valued Reactions and Sources of Market Asymmetry

    Set-valued reaction models for equilibrium and market asymmetry after a cartel member exits.

    Anton Badev, Vanya Ivanova, Diana Nedelcheva, Martin Pavlov, Boyan Zlatanov

    Preprints.org manuscript 202608.0503 (2026).

    Read the preprint

  4. Publication 2025

    A Fixed Point Approach to the Stackelberg Model in Oligopoly Markets

    Fixed point methods applied to leader–follower competition in oligopoly markets.

    Martin Pavlov, Vasil Zhelinski, Boyan Zlatanov

    Scientific Works of the University of Plovdiv, Mathematics, Vol. 40, Book 3, pp. 55–68. ISSN 0204–5249.

    Read the paper (PDF)

Research and commentary

Explore our mathematical work.

Five interactive demonstrations connect scheduling, battery control, leak inference and flow design to computed results. Change a scenario and examine how the model responds.

Explore the five demonstrations

Bring a research team to your next challenge.

Work with us on a technical investigation, a mathematical model or a software prototype.

Discuss your project