The central limit theorem and law of the iterated logarithm for Markov chains corresponding to random walks on the space Homeo(S1) of circle homeomorphisms for centered Lipschitz functions and every starting point are proved.

This paper focuses on the role of nature in placemaking within historic cities. There are two different approaches to placemaking – The first is a more traditional approach, i.e. complete building process which entails significant investments. The second is “Lighter, Quicker, Cheaper” approach proposed by the Project for Public Spaces organization. This article discusses the role, importance and place of nature in both approaches....

Praca dotyczy dolnego ograniczenia liczby dominowania w grafach, ze względu na ilość wierzchołków oraz największą liczbę liści w drzewie spinającym.

The aim of the article is to present the role of green public areas of waterfronts in shaping the image of cities, and the threats to such landscape which may be caused by wrong planning decisions. The case study of Gdansk sea-shore area in Poland is presented as an example to illustrate the values and potential of the waterfront landscape which can be easily destroyed by inadequate spatial development. Some theoretical studies...