Concept
Alexander polynomial
Related publications (27)
HYPERBOLA METHOD ON TORIC VARIETIES
We develop a very general version of the hyperbola method which extends the known method by Blomer and Brudern for products of projective spaces to complete smooth split toric varieties. We use it to count Campana points of bounded log-anticanonical height ...
Palaiseau2024Mechanics of Physical Knots: From Filaments in Contact to Surgical Suturing
In this thesis, we study the mechanics of tight physical knots. Knots are omnipresent in surgery, climbing, and sailing, with disastrous consequences when the filament or the rope fails to perform its function. Even if the importance of mechanical analysis ...
EPFL2023The shapes of physical trefoil knots
Pedro Miguel Nunes Pereira de Almeida Reis, John Maddocks, Paul Johanns, Changyeob Baek, Paul Grandgeorge
We perform a compare-and-contrast investigation between the equilibrium shapes of physical and ideal trefoil knots, both in closed and open configurations. Ideal knots are purely geometric abstractions for the tightest configuration tied in a perfectly fle ...
2021Design and Implementation of a Neural Network Based Predistorter for Enhanced Mobile Broadband
Alexios Konstantinos Balatsoukas Stimming
Digital predistortion is the process of using digital signal processing to correct nonlinearities caused by the analog RF front-end of a wireless transmitter. These nonlinearities contribute to adjacent channel leakage, degrade the error vector magnitude o ...
IEEE2019A Generalized Index for Static Voltage Stability of Unbalanced Polyphase Power Systems including Thévenin Equivalents and Polynomial Models
Mario Paolone, Andreas Martin Kettner
This paper proposes a Voltage Stability Index (VSI) suitable for unbalanced polyphase power systems. To this end, the grid is represented by a polyphase multiport network model (i.e., hybrid parameters), and the aggregate behavior of the devices in each no ...
2019Advanced Machine Learning Techniques for Self-Interference Cancellation in Full-Duplex Radios
Andreas Peter Burg, Andreas Toftegaard Kristensen
In-band full-duplex systems allow for more efficient use of temporal and spectral resources by transmitting and receiving information at the same time and on the same frequency. However, this creates a strong self-interference signal at the receiver, makin ...
IEEE2019Polynomial models in finance
This thesis presents new flexible dynamic stochastic models for the evolution of market prices and new methods for the valuation of derivatives. These models and methods build on the recently characterized class of polynomial jump-diffusion processes for w ...
EPFL2017Controller design and value function approximation for nonlinear dynamical systems
This work considers the infinite-time discounted optimal control problem for continuous time input-affine polynomial dynamical systems subject to polynomial state and box input constraints. We propose a sequence of sum-of-squares (SOS) approximations of th ...
Pergamon-Elsevier Science Ltd2016Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction
Formal verification utilizing symbolic computer algebra has demonstrated the ability to formally verify large Galois field arithmetic circuits and basic architectures of integer arithmetic circuits. The technique models the circuit as Gröbner basis polynom ...
IEEE2016Homoclinic Points And Floer Homology
A new relation between homoclinic points and Lagrangian Floer homology is presented: in dimension two, we construct a Floer homology generated by primary homoclinic points. We compute two examples and prove an invariance theorem. Moreover, we establish a l ...
Int Press Boston, Inc2013