We consider a semi-discrete car-following model and the macroscopic Aw–Rascle model for traffic flow given in Lagrangian form. The solution of the car-following model converges to a weak entropy solution of the system of hyperbolic balance laws with Cauchy initial data. For the homogeneous system, we allow vacuum in the initial data. By using properties of the semi-discrete model, we show that ...

The current work focuses on critical exponents of the two-dimensional ferromagnetic Ising model defined on the hyperbolic plane. The hyperbolic plane is a simply connected infinite surface in which the Gaussian curvature possesses a constant negative curvature at arbitrary points. This non-zero curvature changes the geometric symmetry of the embedded Ising lattice model, and thus possibly induc...

On average, young people underestimate whereas old people overestimate their chances to survive into the future. We employ a subjective survival belief model proposed by Ludwig and Zimper (2013) which can replicate these patterns. The model is compared with hyperbolic discounting within a standard life-cycle setting of consumption and savings. We show theoretically that the first order conditio...

We discuss the dynamics of the correspondences associated to those plane curves whose local sections contract the Poincaré metric in a hyperbolic planar domain. 1. Introduction. We consider certain 1-dimensional, holomorphic correspondences of hyperbolic type, which we call " contractive curves. " These are curves whose local sections contract the Poincaré metric of a hyperbolic planar domain. ...

We prove the existence of strong solutions to a class of inhomogeneous boundary-value problems for an elliptic-hyperbolic equation. The equation is an arbitrarily small lower-order perturbation of an equation that arises in the linearization of an approximate model for high-frequency waves near a caustic. The domain boundary is allowed to extend into both the elliptic and hyperbolic regions of ...

Hyperbolic discounting of future outcomes is widely observed to underlie choice behavior in animals. Additionally, recent studies (Kobayashi & Schultz, 2008) have reported that hyperbolic discounting is observed even in neural systems underlying choice. However, the most prevalent models of temporal discounting, such as temporal difference learning, assume that future outcomes are discounted ex...

We brieey review the current status of the algebraic approach to quantum eld theory on globally hyperbolic spacetimes, both axiomatic { for general eld theories, and constructive { for a linear Klein-Gordon model. We recall the concept of F-locality, introduced in the latter context in BS Kay: Rev. and explain how it can be formulated at an axiomatic level for a general eld theory (as a conditi...