Fivos Papadimitriou – författare

This book delivers stimulating input for a broad range of researchers, from geographers and ecologists to psychologists interested in spatial perception and physicists researching in complex systems. 

How can one decide whether one surface or spatial object is more complex than another? 

What does it require to measure the spatial complexity of small maps, and why does this matter for nature, science and technology? 

Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies. 

It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology.

Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators.

Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.

Deviant landscapes can be physical, or digital or outright fictitious. Whatever their nature or context, they do not conform to normality. Deviant landscapes can be encountered on the face of the earth, on computer screens, in people''s minds.

This anthology presents varying perspectives on deviant landscapes, widening the theoretical framework of spatial-and-landscape research by delving into the hitherto almost uncharted realm of deviant landscapes in a way that is missing in the academic literature.

It exposes a variety of perspectives on deviant landscapes, from disparate scientific domains (i.e. geography, literary studies, sociology, game studies, cultural studies) and delivers useful insights into the diverse theoretical approaches that can be adopted to examine such landscapes (neopragmatist, social constructivist, scientometric, art theoretical etc.).

This is the first book that focuses on the full range of spatial aspects of Artificial Intelligence.

Spatial AI is defined here as

- AI that is generated from spatial data, or

- AI that is used for spatial analysis and spatial problem-solving, or

- AI that is embedded in spatial (physical and/or digital) domains.

The reader is presented with a comprehensive exploration of the rise of Spatial AI in the last decades, its applications in spatial analysis and its relationships with GeoAI, Evolutionary AI and Spatial Computing.

With chapters addressing the spatial aspects of AI in the context of GenAI, AR, robotics, digital twins etc, it is a valuable resource for those who seek to explore the immense potential of Spatial AI, its possible limitations in terms of energy and computability, as well as its future prospects towards spatially-enabled AGI and Artificial Super-Intelligence.

This is the first book on spatial entropy in the scientific literature. It links spatial entropy with landscape analysis, landscape diversity and geo-information. It gives all the essential tools that a researcher needs in order to study the spatial entropy of physical as well as artificial landscapes (created with artificial life, swarm intelligence etc). This book explores the fascinating world of the interplay between spatial entropy, spatial information, self-organization and emergence and gives geographers and landscape scientists several alternative mathematical methods to study them, i.e. Shannon''s formula, measures from non-extensive thermodynamics, from directional statistics and network theory. An essential book for researchers in landscape analysis and geo-informatics.