Invitation to Earth Stewardship

EARTH STEWARDSHIP EARTH STEWARDSHIP EARTH STEWARDSHIP Earth Stewardship of rangelands: coping with ecological, economic, and political marginality

www.frontiersinecology.org © The Ecological Society of America R – including grasslands, shrublands, savannas, deserts, prairies, steppe, and tundra – comprise 30–40% of Earth’s ice-free terrestrial surface (depending on one’s definition and data sources; Asner et al. 2004) and account for 91% of the world’s grazing lands (Reid et al. 2008). Encompassing watersheds for vast downstream populatio...

SYNTHESIS & INTEGRATION Earth Stewardship: science for action to sustain the human-earth system

Human activities affect Earth’s life support systems so profoundly as to threaten many of the ecological services that are essential to society. To address this challenge, a new science agenda is needed that integrates people with the rest of nature to help chart a more sustainable trajectory for the relationship between society and the biosphere. This paper describes Earth Stewardship, an init...

Invitation to operadic dynamics

Based on the Gerstenhaber Theory it is clarified how operadic dynamics may be introduced. Operadic observables satisfy the Gerstenhaber algebra identities and their time evolution is governed by the Gerstenhaber-Lax or Gerstenhaber-Heisenberg equation. In this way one can describe classical and quantum time evolution of operations. The notion of an operadic Lax pair is introduced as well.

An Invitation to Play

Parity games and their subclasses and variants pop up in various contexts: μ-calculus, tree automata, program verification [3, 1, 8]. Such games provide only binary information indicating the winning player. However, in classical games theory [12] the emphasis is rather on how much we win or lose. Can we incorporate the information about the profits and losses into parity games?

An Invitation to Topology