The focus of this thesis was threefold: i) application and effects of stochastic resetting on physical in a variety of processes, namely, chemical reactions, operations research and viscoelastic media, ii) a unified renewal ...

This thesis provides a study of problems related to the irreducibility and arithmetic properties of certain families of polynomials. In particular, we emphasize generalized ω-Laguarre polynomials and discriminants of a ...

Quantified Conflict Driven Clause Learning (QCDCL) is one of the main approaches to solving Quantified Boolean Formulas (QBF). Cube-learning is employed in this approach to ensure that true formulas can be verified. ...

Compact stars, such as neutron stars and quark stars, provide a unique environment for studying matter at extreme densities, though the underlying physics remains uncertain due to limitations in the equations of state ...

In this thesis, we investigated the Hubbard model in the strong coupling regime with a dual approach: an analytical treatment based on the limit of infinite onsite repulsion 𝑈 = ∞ in which we developed an approximate ...

The industrial revolution catalyzed the development of classical thermodynamics, emerg- ing from the furnaces of mines and factories. Subsequently, statistical mechanics refined and shaped its principles. At the dawn of ...

This thesis addresses the fundamental problem of shock propagation in both homogeneous and inhomogeneous media, with a focus on scenarios initiated by either intense explosions or continuous energy input. Classical ...

Macromolecules or polymers are generally found in crowded environments. The interior of a cell contains a high concentration of macromolecules, typically constituting 20–30% of the total cell volume. Crowders play a crucial ...

In this thesis, we investigate the amplitudes of gauge theories in two different contexts using the on-shell methods and positive geometry. We study the amplitudes and so-called on-shell functions for the Coulomb branch ...

Two-dimensional electron systems (2DESs) in strong magnetic fields host a rich variety of interacting ground states, including the celebrated fractional quantum Hall effect (FQHE), Wigner crystals (WC), and bubble and ...