Research Articles (Mathematical Sciences)
Recent Submissions

Quadratic Pade approximation : numerical aspects and applications
(Steklov Mathematical Institute, 2019)Pad´e approximation is a useful tool for extracting singularity information from a power series. A linear Pad´e approximant is a rational function and can provide estimates of pole and zero locations in the complex plane. ... 
On the inducibility of small trees
(Episciences, 2019)The quantity that captures the asymptotic value of the maximum number of appearances of a given topological tree (a rooted tree with no vertices of outdegree 1) S with k leaves in an arbitrary tree with sufficiently large ... 
Exponential damping : the key to successful containment of COVID19
(Frontiers Media, 20210108)Due to its excessive capacity for humantohuman transmission, the 2019 coronavirus disease (COVID19) has now been declared a global public health emergency. Here we propose a simple model based on exponential infectious ... 
Impact of COVID19 pandemic on mobility in ten countries and associated perceived risk for all transport modes
(PLOS, 20210201)The restrictive measures implemented in response to the COVID19 pandemic have triggered sudden massive changes to travel behaviors of people all around the world. This study examines the individual mobility patterns for ... 
Scaling relationships between leaf shape and area of 12 rosaceae species
(MDPI, 2019)Leaf surface area (A) and leaf shape have been demonstrated to be closely correlated with photosynthetic rates. The scaling relationship between leaf biomass (both dry weight and fresh weight) and A has been widely studied. ... 
Effects of salt stress on the leaf shape and scaling of pyrus betulifolia bunge
(MDPI, 2019)Leaf shape can reflect the survival and development of plants in different environments. In particular, leaf area, showing a scaling relationship with other leafshape indices, has been used to evaluate the extent of salt ... 
Nearvector spaces determined by finite fields and their fibrations
(Scientific and Technological Research Council of TurkeyScientific and Technological Research Council of Turkey, 2019)In this paper we study nearvector spaces constructed from copies of finite fields. We show that for these nearvector spaces regularity is equivalent to the quasikernel being the entire space. As a second focus, we study ... 
A simple ecological model captures the transmission pattern of COVID19 outbreak in China
(BioMed Central, 2020)Background The rapid spread of the 2019 novel coronavirus disease (COVID19), initially reported in the city of Wuhan in China, and quickly transmitted to the entire nation and beyond, has become an international ... 
Nearvector spaces constructed from near domains
(Miskolci Egyetemi Kiado, 2018)In this paper we prove some new results on nearvector spaces and near domains and give a first application of the nearring of quotients with respect to a multiplicative set, namely we construct a new class of nearvector ... 
Why does not the leaf weightarea allometry of bamboos follow the 3/2power law?
(Frontiers Media, 2018)The principle of similarity (Thompson, 1917) states that the weight of an organism follows the 3/2power law of its surface area and is proportional to its volume on the condition that the density is constant. However, the ... 
Spatial segregation facilitates the coexistence of tree species in temperate forests
(MDPI, 2018)Competition between plants has an important role during the natural succession of forest communities. Niche separation between plants can reduce such interspecific competition and enable multispecies plant to achieve ... 
Influence of rotation on transversely isotropic piezoelectric rod coated with a thin film
(Polish Academy of Sciences, 2018)In this paper, the influence of rotation on axisymmetric waves of a piezoelectric rod coated with a thin film is studied using constitutive form linear theory elasticity and piezoelectric equations. Potential functions ... 
On the distribution of subtree orders of a tree
(University of Primorska, 2018)We investigate the distribution of the number of vertices of a randomly chosen subtree of a tree. Specifically, it is proven that this distribution is close to a Gaussian distribution in an explicitly quantifiable way if ... 
Upscaling biodiversity : estimating the species–area relationship from small samples
(Ecological Society of America, 2018)The challenge of biodiversity upscaling, estimating the species richness of a large area from scattered local surveys within it, has attracted increasing interest in recent years, producing a wide range of competing ... 
Drivers of species turnover vary with species commonness for native and alien plants with different residence times
(Ecological Society of America, 2018)Communities comprising alien species with different residence times are natural experiments allowing the assessment of drivers of community assembly over time. Stochastic processes (such as dispersal and fluctuating ... 
Weighing evidence
(Author retain copyright, 201912)Often different pieces of evidence of different degrees of credibility are submitted in legal proceedings. Then a court “weighs” the evidence and arrives at a conclusion. But how should evidence be weighed? The use of ... 
On spanning sets and generators of nearvector spaces
(Scientific and Technological Research Council of Turkey, 2018)In this paper we study the quasikernel of certain constructions of nearvector spaces and the span of a vector. We characterize those vectors whose span is onedimensional and those that generate the whole space. 
Dynamical phase transition in drifted Brownian motion
(American Physical Society, 2018)We study the occupation fluctuations of drifted Brownian motion in a closed interval and show that they undergo a dynamical phase transition in the longtime limit without an additional lownoise limit. This phase transition ... 
The definable (Q, Q)theorem for distal theories
(Association for Symbolic Logic, 2018)Answering a special case of a question of Chernikov and Simon, we show that any nondividing formula over a model M in a distal NIP theory is a member of a consistent definable family, definable over M. 
Hofstadter point spectrum trace and the almost Mathieu operator
(AIP, 2018)We consider point spectrum traces in the Hofstadter model. We show how to recover the full quantum Hofstadter trace by integrating these point spectrum traces with the appropriate free density of states on the lattice. ...